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Finding the Fourth Proportional to 15,974.82, 22,038.60 and 9,513.12

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Solution

The fourth proportional to 15,974.82, 22,038.60 and 9,513.12 is: 13,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974.82 : 22,038.60 = 9,513.12 : x
  2. Step 2: Convert to fraction form
    15,974.82/22,038.60 = 9,513.12/x
  3. Step 3: Cross multiply
    15,974.82x = 22,038.60 × 9,513.12
  4. Step 4: Simplify right side
    15,974.82x = 209,655,846.43
  5. Step 5: Solve for x
    x = 209,655,846.43/15,974.82
  6. Step 6: Final answer
    x = 13,124.14

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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.