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Finding the Fourth Proportional to 12,686.17, 19,008.47 and 6,756.76

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Solution

The fourth proportional to 12,686.17, 19,008.47 and 6,756.76 is: 10,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.17 : 19,008.47 = 6,756.76 : x
  2. Step 2: Convert to fraction form
    12,686.17/19,008.47 = 6,756.76/x
  3. Step 3: Cross multiply
    12,686.17x = 19,008.47 × 6,756.76
  4. Step 4: Simplify right side
    12,686.17x = 128,435,669.76
  5. Step 5: Solve for x
    x = 128,435,669.76/12,686.17
  6. Step 6: Final answer
    x = 10,124.07

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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.