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Finding the Fourth Proportional to 22,617, 31,211.46 and 13,785

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Solution

The fourth proportional to 22,617, 31,211.46 and 13,785 is: 19,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617 : 31,211.46 = 13,785 : x
  2. Step 2: Convert to fraction form
    22,617/31,211.46 = 13,785/x
  3. Step 3: Cross multiply
    22,617x = 31,211.46 × 13,785
  4. Step 4: Simplify right side
    22,617x = 430,249,976.10
  5. Step 5: Solve for x
    x = 430,249,976.10/22,617
  6. Step 6: Final answer
    x = 19,023.30

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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.