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Finding the Fourth Proportional to 19,503.12, 29,255.04 and 5,652

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Solution

The fourth proportional to 19,503.12, 29,255.04 and 5,652 is: 8,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503.12 : 29,255.04 = 5,652 : x
  2. Step 2: Convert to fraction form
    19,503.12/29,255.04 = 5,652/x
  3. Step 3: Cross multiply
    19,503.12x = 29,255.04 × 5,652
  4. Step 4: Simplify right side
    19,503.12x = 165,349,486.08
  5. Step 5: Solve for x
    x = 165,349,486.08/19,503.12
  6. Step 6: Final answer
    x = 8,478.10

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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.