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Finding the Fourth Proportional to 10,830.70, 16,246.05 and 9,737.20

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Solution

The fourth proportional to 10,830.70, 16,246.05 and 9,737.20 is: 14,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.70 : 16,246.05 = 9,737.20 : x
  2. Step 2: Convert to fraction form
    10,830.70/16,246.05 = 9,737.20/x
  3. Step 3: Cross multiply
    10,830.70x = 16,246.05 × 9,737.20
  4. Step 4: Simplify right side
    10,830.70x = 158,191,038.06
  5. Step 5: Solve for x
    x = 158,191,038.06/10,830.70
  6. Step 6: Final answer
    x = 14,605.80

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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.