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Finding the Fourth Proportional to 10,267.02, 15,319.89 and 9,640.08

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Solution

The fourth proportional to 10,267.02, 15,319.89 and 9,640.08 is: 14,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.02 : 15,319.89 = 9,640.08 : x
  2. Step 2: Convert to fraction form
    10,267.02/15,319.89 = 9,640.08/x
  3. Step 3: Cross multiply
    10,267.02x = 15,319.89 × 9,640.08
  4. Step 4: Simplify right side
    10,267.02x = 147,684,965.19
  5. Step 5: Solve for x
    x = 147,684,965.19/10,267.02
  6. Step 6: Final answer
    x = 14,384.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.