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Finding the Fourth Proportional to 12,350.09, 17,031.84 and 10,564.31

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Solution

The fourth proportional to 12,350.09, 17,031.84 and 10,564.31 is: 14,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350.09 : 17,031.84 = 10,564.31 : x
  2. Step 2: Convert to fraction form
    12,350.09/17,031.84 = 10,564.31/x
  3. Step 3: Cross multiply
    12,350.09x = 17,031.84 × 10,564.31
  4. Step 4: Simplify right side
    12,350.09x = 179,929,637.63
  5. Step 5: Solve for x
    x = 179,929,637.63/12,350.09
  6. Step 6: Final answer
    x = 14,569.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.