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Finding the Fourth Proportional to 17,710.86, 26,532.18 and 9,925.14

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Solution

The fourth proportional to 17,710.86, 26,532.18 and 9,925.14 is: 14,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.86 : 26,532.18 = 9,925.14 : x
  2. Step 2: Convert to fraction form
    17,710.86/26,532.18 = 9,925.14/x
  3. Step 3: Cross multiply
    17,710.86x = 26,532.18 × 9,925.14
  4. Step 4: Simplify right side
    17,710.86x = 263,335,601.01
  5. Step 5: Solve for x
    x = 263,335,601.01/17,710.86
  6. Step 6: Final answer
    x = 14,868.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.