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Finding the Fourth Proportional to 17,456.16, 24,085.53 and 9,900.69

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Solution

The fourth proportional to 17,456.16, 24,085.53 and 9,900.69 is: 13,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.16 : 24,085.53 = 9,900.69 : x
  2. Step 2: Convert to fraction form
    17,456.16/24,085.53 = 9,900.69/x
  3. Step 3: Cross multiply
    17,456.16x = 24,085.53 × 9,900.69
  4. Step 4: Simplify right side
    17,456.16x = 238,463,366.02
  5. Step 5: Solve for x
    x = 238,463,366.02/17,456.16
  6. Step 6: Final answer
    x = 13,660.70

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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.