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Finding the Fourth Proportional to 24,726.98, 37,095.34 and 9,144.74

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Solution

The fourth proportional to 24,726.98, 37,095.34 and 9,144.74 is: 13,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,726.98 : 37,095.34 = 9,144.74 : x
  2. Step 2: Convert to fraction form
    24,726.98/37,095.34 = 9,144.74/x
  3. Step 3: Cross multiply
    24,726.98x = 37,095.34 × 9,144.74
  4. Step 4: Simplify right side
    24,726.98x = 339,227,239.51
  5. Step 5: Solve for x
    x = 339,227,239.51/24,726.98
  6. Step 6: Final answer
    x = 13,718.91

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