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Finding the Fourth Proportional to 15,971.18, 22,038.18 and 9,256.76

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Solution

The fourth proportional to 15,971.18, 22,038.18 and 9,256.76 is: 12,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.18 : 22,038.18 = 9,256.76 : x
  2. Step 2: Convert to fraction form
    15,971.18/22,038.18 = 9,256.76/x
  3. Step 3: Cross multiply
    15,971.18x = 22,038.18 × 9,256.76
  4. Step 4: Simplify right side
    15,971.18x = 204,002,143.10
  5. Step 5: Solve for x
    x = 204,002,143.10/15,971.18
  6. Step 6: Final answer
    x = 12,773.14

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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.