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Finding the Fourth Proportional to 23,810.40, 32,860.80 and 14,378.40

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Solution

The fourth proportional to 23,810.40, 32,860.80 and 14,378.40 is: 19,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.40 : 32,860.80 = 14,378.40 : x
  2. Step 2: Convert to fraction form
    23,810.40/32,860.80 = 14,378.40/x
  3. Step 3: Cross multiply
    23,810.40x = 32,860.80 × 14,378.40
  4. Step 4: Simplify right side
    23,810.40x = 472,485,726.72
  5. Step 5: Solve for x
    x = 472,485,726.72/23,810.40
  6. Step 6: Final answer
    x = 19,843.67

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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.