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Finding the Fourth Proportional to 24,497.51, 36,754.49 and 9,710.69

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Solution

The fourth proportional to 24,497.51, 36,754.49 and 9,710.69 is: 14,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.51 : 36,754.49 = 9,710.69 : x
  2. Step 2: Convert to fraction form
    24,497.51/36,754.49 = 9,710.69/x
  3. Step 3: Cross multiply
    24,497.51x = 36,754.49 × 9,710.69
  4. Step 4: Simplify right side
    24,497.51x = 356,911,299.00
  5. Step 5: Solve for x
    x = 356,911,299.00/24,497.51
  6. Step 6: Final answer
    x = 14,569.29

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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.