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Finding the Fourth Proportional to 14,865, 22,298.94 and 5,006.76

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Solution

The fourth proportional to 14,865, 22,298.94 and 5,006.76 is: 7,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865 : 22,298.94 = 5,006.76 : x
  2. Step 2: Convert to fraction form
    14,865/22,298.94 = 5,006.76/x
  3. Step 3: Cross multiply
    14,865x = 22,298.94 × 5,006.76
  4. Step 4: Simplify right side
    14,865x = 111,645,440.83
  5. Step 5: Solve for x
    x = 111,645,440.83/14,865
  6. Step 6: Final answer
    x = 7,510.63

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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.