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Finding the Fourth Proportional to 20,870.92, 31,308.32 and 7,547.26

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Solution

The fourth proportional to 20,870.92, 31,308.32 and 7,547.26 is: 11,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.92 : 31,308.32 = 7,547.26 : x
  2. Step 2: Convert to fraction form
    20,870.92/31,308.32 = 7,547.26/x
  3. Step 3: Cross multiply
    20,870.92x = 31,308.32 × 7,547.26
  4. Step 4: Simplify right side
    20,870.92x = 236,292,031.20
  5. Step 5: Solve for x
    x = 236,292,031.20/20,870.92
  6. Step 6: Final answer
    x = 11,321.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.