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Finding the Fourth Proportional to 16,307.97, 22,509.43 and 9,595.76

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Solution

The fourth proportional to 16,307.97, 22,509.43 and 9,595.76 is: 13,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.97 : 22,509.43 = 9,595.76 : x
  2. Step 2: Convert to fraction form
    16,307.97/22,509.43 = 9,595.76/x
  3. Step 3: Cross multiply
    16,307.97x = 22,509.43 × 9,595.76
  4. Step 4: Simplify right side
    16,307.97x = 215,995,014.79
  5. Step 5: Solve for x
    x = 215,995,014.79/16,307.97
  6. Step 6: Final answer
    x = 13,244.75

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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.