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Finding the Fourth Proportional to 16,386.03, 22,614.80 and 9,216.32

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Solution

The fourth proportional to 16,386.03, 22,614.80 and 9,216.32 is: 12,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.03 : 22,614.80 = 9,216.32 : x
  2. Step 2: Convert to fraction form
    16,386.03/22,614.80 = 9,216.32/x
  3. Step 3: Cross multiply
    16,386.03x = 22,614.80 × 9,216.32
  4. Step 4: Simplify right side
    16,386.03x = 208,425,074.38
  5. Step 5: Solve for x
    x = 208,425,074.38/16,386.03
  6. Step 6: Final answer
    x = 12,719.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.