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Finding the Fourth Proportional to 21,702.18, 29,952.10 and 13,745.14

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Solution

The fourth proportional to 21,702.18, 29,952.10 and 13,745.14 is: 18,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.18 : 29,952.10 = 13,745.14 : x
  2. Step 2: Convert to fraction form
    21,702.18/29,952.10 = 13,745.14/x
  3. Step 3: Cross multiply
    21,702.18x = 29,952.10 × 13,745.14
  4. Step 4: Simplify right side
    21,702.18x = 411,695,807.79
  5. Step 5: Solve for x
    x = 411,695,807.79/21,702.18
  6. Step 6: Final answer
    x = 18,970.25

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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.