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Finding the Fourth Proportional to 16,272.16, 24,404.40 and 7,501.60

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Solution

The fourth proportional to 16,272.16, 24,404.40 and 7,501.60 is: 11,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.16 : 24,404.40 = 7,501.60 : x
  2. Step 2: Convert to fraction form
    16,272.16/24,404.40 = 7,501.60/x
  3. Step 3: Cross multiply
    16,272.16x = 24,404.40 × 7,501.60
  4. Step 4: Simplify right side
    16,272.16x = 183,072,047.04
  5. Step 5: Solve for x
    x = 183,072,047.04/16,272.16
  6. Step 6: Final answer
    x = 11,250.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.