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Finding the Fourth Proportional to 24,240.71, 36,356.95 and 6,706.44

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Solution

The fourth proportional to 24,240.71, 36,356.95 and 6,706.44 is: 10,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,240.71 : 36,356.95 = 6,706.44 : x
  2. Step 2: Convert to fraction form
    24,240.71/36,356.95 = 6,706.44/x
  3. Step 3: Cross multiply
    24,240.71x = 36,356.95 × 6,706.44
  4. Step 4: Simplify right side
    24,240.71x = 243,825,703.76
  5. Step 5: Solve for x
    x = 243,825,703.76/24,240.71
  6. Step 6: Final answer
    x = 10,058.52

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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.