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Finding the Fourth Proportional to 15,258.71, 22,795.58 and 9,667.31

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Solution

The fourth proportional to 15,258.71, 22,795.58 and 9,667.31 is: 14,442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.71 : 22,795.58 = 9,667.31 : x
  2. Step 2: Convert to fraction form
    15,258.71/22,795.58 = 9,667.31/x
  3. Step 3: Cross multiply
    15,258.71x = 22,795.58 × 9,667.31
  4. Step 4: Simplify right side
    15,258.71x = 220,371,938.49
  5. Step 5: Solve for x
    x = 220,371,938.49/15,258.71
  6. Step 6: Final answer
    x = 14,442.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.