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Finding the Fourth Proportional to 10,377.84, 15,434.70 and 10,066.80

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Solution

The fourth proportional to 10,377.84, 15,434.70 and 10,066.80 is: 14,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.84 : 15,434.70 = 10,066.80 : x
  2. Step 2: Convert to fraction form
    10,377.84/15,434.70 = 10,066.80/x
  3. Step 3: Cross multiply
    10,377.84x = 15,434.70 × 10,066.80
  4. Step 4: Simplify right side
    10,377.84x = 155,378,037.96
  5. Step 5: Solve for x
    x = 155,378,037.96/10,377.84
  6. Step 6: Final answer
    x = 14,972.10

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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.