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Finding the Fourth Proportional to 24,458.69, 36,688.29 and 7,818.35

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Solution

The fourth proportional to 24,458.69, 36,688.29 and 7,818.35 is: 11,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.69 : 36,688.29 = 7,818.35 : x
  2. Step 2: Convert to fraction form
    24,458.69/36,688.29 = 7,818.35/x
  3. Step 3: Cross multiply
    24,458.69x = 36,688.29 × 7,818.35
  4. Step 4: Simplify right side
    24,458.69x = 286,842,058.69
  5. Step 5: Solve for x
    x = 286,842,058.69/24,458.69
  6. Step 6: Final answer
    x = 11,727.61

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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.