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Finding the Fourth Proportional to 21,707.29, 32,560.93 and 10,014.13

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Solution

The fourth proportional to 21,707.29, 32,560.93 and 10,014.13 is: 15,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.29 : 32,560.93 = 10,014.13 : x
  2. Step 2: Convert to fraction form
    21,707.29/32,560.93 = 10,014.13/x
  3. Step 3: Cross multiply
    21,707.29x = 32,560.93 × 10,014.13
  4. Step 4: Simplify right side
    21,707.29x = 326,069,385.94
  5. Step 5: Solve for x
    x = 326,069,385.94/21,707.29
  6. Step 6: Final answer
    x = 15,021.19

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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.