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Finding the Fourth Proportional to 16,442.30, 22,686 and 9,368.57

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Solution

The fourth proportional to 16,442.30, 22,686 and 9,368.57 is: 12,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.30 : 22,686 = 9,368.57 : x
  2. Step 2: Convert to fraction form
    16,442.30/22,686 = 9,368.57/x
  3. Step 3: Cross multiply
    16,442.30x = 22,686 × 9,368.57
  4. Step 4: Simplify right side
    16,442.30x = 212,535,379.02
  5. Step 5: Solve for x
    x = 212,535,379.02/16,442.30
  6. Step 6: Final answer
    x = 12,926.13

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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.