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Finding the Fourth Proportional to 12,688.65, 17,510.45 and 7,023.24

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Solution

The fourth proportional to 12,688.65, 17,510.45 and 7,023.24 is: 9,692.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.65 : 17,510.45 = 7,023.24 : x
  2. Step 2: Convert to fraction form
    12,688.65/17,510.45 = 7,023.24/x
  3. Step 3: Cross multiply
    12,688.65x = 17,510.45 × 7,023.24
  4. Step 4: Simplify right side
    12,688.65x = 122,980,057.74
  5. Step 5: Solve for x
    x = 122,980,057.74/12,688.65
  6. Step 6: Final answer
    x = 9,692.13

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