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Finding the Fourth Proportional to 24,593, 36,854.05 and 14,030.46

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Solution

The fourth proportional to 24,593, 36,854.05 and 14,030.46 is: 21,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593 : 36,854.05 = 14,030.46 : x
  2. Step 2: Convert to fraction form
    24,593/36,854.05 = 14,030.46/x
  3. Step 3: Cross multiply
    24,593x = 36,854.05 × 14,030.46
  4. Step 4: Simplify right side
    24,593x = 517,079,274.36
  5. Step 5: Solve for x
    x = 517,079,274.36/24,593
  6. Step 6: Final answer
    x = 21,025.47

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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.