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Finding the Fourth Proportional to 12,569.19, 18,861.72 and 7,026.17

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Solution

The fourth proportional to 12,569.19, 18,861.72 and 7,026.17 is: 10,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.19 : 18,861.72 = 7,026.17 : x
  2. Step 2: Convert to fraction form
    12,569.19/18,861.72 = 7,026.17/x
  3. Step 3: Cross multiply
    12,569.19x = 18,861.72 × 7,026.17
  4. Step 4: Simplify right side
    12,569.19x = 132,525,633.01
  5. Step 5: Solve for x
    x = 132,525,633.01/12,569.19
  6. Step 6: Final answer
    x = 10,543.69

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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.