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Finding the Fourth Proportional to 16,417.71, 24,623.87 and 5,332.32

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Solution

The fourth proportional to 16,417.71, 24,623.87 and 5,332.32 is: 7,997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.71 : 24,623.87 = 5,332.32 : x
  2. Step 2: Convert to fraction form
    16,417.71/24,623.87 = 5,332.32/x
  3. Step 3: Cross multiply
    16,417.71x = 24,623.87 × 5,332.32
  4. Step 4: Simplify right side
    16,417.71x = 131,302,327.82
  5. Step 5: Solve for x
    x = 131,302,327.82/16,417.71
  6. Step 6: Final answer
    x = 7,997.60

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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.