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Finding the Fourth Proportional to 17,902.30, 24,708.16 and 10,347.32

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Solution

The fourth proportional to 17,902.30, 24,708.16 and 10,347.32 is: 14,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,902.30 : 24,708.16 = 10,347.32 : x
  2. Step 2: Convert to fraction form
    17,902.30/24,708.16 = 10,347.32/x
  3. Step 3: Cross multiply
    17,902.30x = 24,708.16 × 10,347.32
  4. Step 4: Simplify right side
    17,902.30x = 255,663,238.13
  5. Step 5: Solve for x
    x = 255,663,238.13/17,902.30
  6. Step 6: Final answer
    x = 14,281.03

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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.