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Finding the Fourth Proportional to 17,402.10, 24,014.96 and 9,444.32

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Solution

The fourth proportional to 17,402.10, 24,014.96 and 9,444.32 is: 13,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.10 : 24,014.96 = 9,444.32 : x
  2. Step 2: Convert to fraction form
    17,402.10/24,014.96 = 9,444.32/x
  3. Step 3: Cross multiply
    17,402.10x = 24,014.96 × 9,444.32
  4. Step 4: Simplify right side
    17,402.10x = 226,804,966.18
  5. Step 5: Solve for x
    x = 226,804,966.18/17,402.10
  6. Step 6: Final answer
    x = 13,033.20

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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.