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Finding the Fourth Proportional to 17,702.04, 24,429.92 and 9,746.04

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Solution

The fourth proportional to 17,702.04, 24,429.92 and 9,746.04 is: 13,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.04 : 24,429.92 = 9,746.04 : x
  2. Step 2: Convert to fraction form
    17,702.04/24,429.92 = 9,746.04/x
  3. Step 3: Cross multiply
    17,702.04x = 24,429.92 × 9,746.04
  4. Step 4: Simplify right side
    17,702.04x = 238,094,977.52
  5. Step 5: Solve for x
    x = 238,094,977.52/17,702.04
  6. Step 6: Final answer
    x = 13,450.14

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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.