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Finding the Fourth Proportional to 21,042.88, 31,547.68 and 10,507.48

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Solution

The fourth proportional to 21,042.88, 31,547.68 and 10,507.48 is: 15,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.88 : 31,547.68 = 10,507.48 : x
  2. Step 2: Convert to fraction form
    21,042.88/31,547.68 = 10,507.48/x
  3. Step 3: Cross multiply
    21,042.88x = 31,547.68 × 10,507.48
  4. Step 4: Simplify right side
    21,042.88x = 331,486,616.65
  5. Step 5: Solve for x
    x = 331,486,616.65/21,042.88
  6. Step 6: Final answer
    x = 15,752.91

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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.