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Finding the Fourth Proportional to 12,011.60, 16,575.72 and 7,473.20

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Solution

The fourth proportional to 12,011.60, 16,575.72 and 7,473.20 is: 10,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.60 : 16,575.72 = 7,473.20 : x
  2. Step 2: Convert to fraction form
    12,011.60/16,575.72 = 7,473.20/x
  3. Step 3: Cross multiply
    12,011.60x = 16,575.72 × 7,473.20
  4. Step 4: Simplify right side
    12,011.60x = 123,873,670.70
  5. Step 5: Solve for x
    x = 123,873,670.70/12,011.60
  6. Step 6: Final answer
    x = 10,312.84

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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.