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Finding the Fourth Proportional to 15,862.23, 23,787.54 and 7,103.16

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Solution

The fourth proportional to 15,862.23, 23,787.54 and 7,103.16 is: 10,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.23 : 23,787.54 = 7,103.16 : x
  2. Step 2: Convert to fraction form
    15,862.23/23,787.54 = 7,103.16/x
  3. Step 3: Cross multiply
    15,862.23x = 23,787.54 × 7,103.16
  4. Step 4: Simplify right side
    15,862.23x = 168,966,702.63
  5. Step 5: Solve for x
    x = 168,966,702.63/15,862.23
  6. Step 6: Final answer
    x = 10,652.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.