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Finding the Fourth Proportional to 13,552, 20,307.02 and 9,400.08

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Solution

The fourth proportional to 13,552, 20,307.02 and 9,400.08 is: 14,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552 : 20,307.02 = 9,400.08 : x
  2. Step 2: Convert to fraction form
    13,552/20,307.02 = 9,400.08/x
  3. Step 3: Cross multiply
    13,552x = 20,307.02 × 9,400.08
  4. Step 4: Simplify right side
    13,552x = 190,887,612.56
  5. Step 5: Solve for x
    x = 190,887,612.56/13,552
  6. Step 6: Final answer
    x = 14,085.57

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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.