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Finding the Fourth Proportional to 16,402.81, 22,646.75 and 10,124.41

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Solution

The fourth proportional to 16,402.81, 22,646.75 and 10,124.41 is: 13,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.81 : 22,646.75 = 10,124.41 : x
  2. Step 2: Convert to fraction form
    16,402.81/22,646.75 = 10,124.41/x
  3. Step 3: Cross multiply
    16,402.81x = 22,646.75 × 10,124.41
  4. Step 4: Simplify right side
    16,402.81x = 229,284,931.55
  5. Step 5: Solve for x
    x = 229,284,931.55/16,402.81
  6. Step 6: Final answer
    x = 13,978.39

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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.