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Finding the Fourth Proportional to 13,898.16, 19,179.44 and 7,524.72

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Solution

The fourth proportional to 13,898.16, 19,179.44 and 7,524.72 is: 10,384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.16 : 19,179.44 = 7,524.72 : x
  2. Step 2: Convert to fraction form
    13,898.16/19,179.44 = 7,524.72/x
  3. Step 3: Cross multiply
    13,898.16x = 19,179.44 × 7,524.72
  4. Step 4: Simplify right side
    13,898.16x = 144,319,915.76
  5. Step 5: Solve for x
    x = 144,319,915.76/13,898.16
  6. Step 6: Final answer
    x = 10,384.10

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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.