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Finding the Fourth Proportional to 14,701.80, 22,052.70 and 9,137.10

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Solution

The fourth proportional to 14,701.80, 22,052.70 and 9,137.10 is: 13,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.80 : 22,052.70 = 9,137.10 : x
  2. Step 2: Convert to fraction form
    14,701.80/22,052.70 = 9,137.10/x
  3. Step 3: Cross multiply
    14,701.80x = 22,052.70 × 9,137.10
  4. Step 4: Simplify right side
    14,701.80x = 201,497,725.17
  5. Step 5: Solve for x
    x = 201,497,725.17/14,701.80
  6. Step 6: Final answer
    x = 13,705.65

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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.