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Finding the Fourth Proportional to 16,391.40, 24,585.48 and 5,295

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Solution

The fourth proportional to 16,391.40, 24,585.48 and 5,295 is: 7,941.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,391.40 : 24,585.48 = 5,295 : x
  2. Step 2: Convert to fraction form
    16,391.40/24,585.48 = 5,295/x
  3. Step 3: Cross multiply
    16,391.40x = 24,585.48 × 5,295
  4. Step 4: Simplify right side
    16,391.40x = 130,180,116.60
  5. Step 5: Solve for x
    x = 130,180,116.60/16,391.40
  6. Step 6: Final answer
    x = 7,941.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.