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Finding the Fourth Proportional to 16,567.68, 22,862.30 and 9,492.78

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Solution

The fourth proportional to 16,567.68, 22,862.30 and 9,492.78 is: 13,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.68 : 22,862.30 = 9,492.78 : x
  2. Step 2: Convert to fraction form
    16,567.68/22,862.30 = 9,492.78/x
  3. Step 3: Cross multiply
    16,567.68x = 22,862.30 × 9,492.78
  4. Step 4: Simplify right side
    16,567.68x = 217,026,784.19
  5. Step 5: Solve for x
    x = 217,026,784.19/16,567.68
  6. Step 6: Final answer
    x = 13,099.41

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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.