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Finding the Fourth Proportional to 23,804.80, 32,851.02 and 14,378.80

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Solution

The fourth proportional to 23,804.80, 32,851.02 and 14,378.80 is: 19,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.80 : 32,851.02 = 14,378.80 : x
  2. Step 2: Convert to fraction form
    23,804.80/32,851.02 = 14,378.80/x
  3. Step 3: Cross multiply
    23,804.80x = 32,851.02 × 14,378.80
  4. Step 4: Simplify right side
    23,804.80x = 472,358,246.38
  5. Step 5: Solve for x
    x = 472,358,246.38/23,804.80
  6. Step 6: Final answer
    x = 19,842.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.