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Finding the Fourth Proportional to 24,037.70, 33,175.35 and 13,428

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Solution

The fourth proportional to 24,037.70, 33,175.35 and 13,428 is: 18,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,037.70 : 33,175.35 = 13,428 : x
  2. Step 2: Convert to fraction form
    24,037.70/33,175.35 = 13,428/x
  3. Step 3: Cross multiply
    24,037.70x = 33,175.35 × 13,428
  4. Step 4: Simplify right side
    24,037.70x = 445,478,599.80
  5. Step 5: Solve for x
    x = 445,478,599.80/24,037.70
  6. Step 6: Final answer
    x = 18,532.50

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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.