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Finding the Fourth Proportional to 22,862.46, 31,556.05 and 13,916.24

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Solution

The fourth proportional to 22,862.46, 31,556.05 and 13,916.24 is: 19,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.46 : 31,556.05 = 13,916.24 : x
  2. Step 2: Convert to fraction form
    22,862.46/31,556.05 = 13,916.24/x
  3. Step 3: Cross multiply
    22,862.46x = 31,556.05 × 13,916.24
  4. Step 4: Simplify right side
    22,862.46x = 439,141,565.25
  5. Step 5: Solve for x
    x = 439,141,565.25/22,862.46
  6. Step 6: Final answer
    x = 19,207.98

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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.