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Finding the Fourth Proportional to 14,702.61, 20,292.93 and 9,042.30

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Solution

The fourth proportional to 14,702.61, 20,292.93 and 9,042.30 is: 12,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.61 : 20,292.93 = 9,042.30 : x
  2. Step 2: Convert to fraction form
    14,702.61/20,292.93 = 9,042.30/x
  3. Step 3: Cross multiply
    14,702.61x = 20,292.93 × 9,042.30
  4. Step 4: Simplify right side
    14,702.61x = 183,494,760.94
  5. Step 5: Solve for x
    x = 183,494,760.94/14,702.61
  6. Step 6: Final answer
    x = 12,480.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.