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Finding the Fourth Proportional to 15,746.54, 21,740.68 and 9,787.10

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Solution

The fourth proportional to 15,746.54, 21,740.68 and 9,787.10 is: 13,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.54 : 21,740.68 = 9,787.10 : x
  2. Step 2: Convert to fraction form
    15,746.54/21,740.68 = 9,787.10/x
  3. Step 3: Cross multiply
    15,746.54x = 21,740.68 × 9,787.10
  4. Step 4: Simplify right side
    15,746.54x = 212,778,209.23
  5. Step 5: Solve for x
    x = 212,778,209.23/15,746.54
  6. Step 6: Final answer
    x = 13,512.70

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