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Finding the Fourth Proportional to 14,411.16, 19,887.40 and 7,787.16

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Solution

The fourth proportional to 14,411.16, 19,887.40 and 7,787.16 is: 10,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.16 : 19,887.40 = 7,787.16 : x
  2. Step 2: Convert to fraction form
    14,411.16/19,887.40 = 7,787.16/x
  3. Step 3: Cross multiply
    14,411.16x = 19,887.40 × 7,787.16
  4. Step 4: Simplify right side
    14,411.16x = 154,866,346.32
  5. Step 5: Solve for x
    x = 154,866,346.32/14,411.16
  6. Step 6: Final answer
    x = 10,746.28

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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.