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Finding the Fourth Proportional to 14,595.54, 20,142 and 8,307.96

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Solution

The fourth proportional to 14,595.54, 20,142 and 8,307.96 is: 11,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.54 : 20,142 = 8,307.96 : x
  2. Step 2: Convert to fraction form
    14,595.54/20,142 = 8,307.96/x
  3. Step 3: Cross multiply
    14,595.54x = 20,142 × 8,307.96
  4. Step 4: Simplify right side
    14,595.54x = 167,338,930.32
  5. Step 5: Solve for x
    x = 167,338,930.32/14,595.54
  6. Step 6: Final answer
    x = 11,465.07

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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.