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Finding the Fourth Proportional to 23,780, 32,810.76 and 14,084.58

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Solution

The fourth proportional to 23,780, 32,810.76 and 14,084.58 is: 19,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780 : 32,810.76 = 14,084.58 : x
  2. Step 2: Convert to fraction form
    23,780/32,810.76 = 14,084.58/x
  3. Step 3: Cross multiply
    23,780x = 32,810.76 × 14,084.58
  4. Step 4: Simplify right side
    23,780x = 462,125,774.08
  5. Step 5: Solve for x
    x = 462,125,774.08/23,780
  6. Step 6: Final answer
    x = 19,433.38

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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.