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Finding the Fourth Proportional to 14,160, 19,541.30 and 7,787.07

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Solution

The fourth proportional to 14,160, 19,541.30 and 7,787.07 is: 10,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160 : 19,541.30 = 7,787.07 : x
  2. Step 2: Convert to fraction form
    14,160/19,541.30 = 7,787.07/x
  3. Step 3: Cross multiply
    14,160x = 19,541.30 × 7,787.07
  4. Step 4: Simplify right side
    14,160x = 152,169,432.06
  5. Step 5: Solve for x
    x = 152,169,432.06/14,160
  6. Step 6: Final answer
    x = 10,746.43

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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.