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Finding the Fourth Proportional to 14,886.20, 22,271.70 and 9,702.20

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Solution

The fourth proportional to 14,886.20, 22,271.70 and 9,702.20 is: 14,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886.20 : 22,271.70 = 9,702.20 : x
  2. Step 2: Convert to fraction form
    14,886.20/22,271.70 = 9,702.20/x
  3. Step 3: Cross multiply
    14,886.20x = 22,271.70 × 9,702.20
  4. Step 4: Simplify right side
    14,886.20x = 216,084,487.74
  5. Step 5: Solve for x
    x = 216,084,487.74/14,886.20
  6. Step 6: Final answer
    x = 14,515.76

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