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Finding the Fourth Proportional to 12,870.37, 17,765.49 and 7,566.76

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Solution

The fourth proportional to 12,870.37, 17,765.49 and 7,566.76 is: 10,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.37 : 17,765.49 = 7,566.76 : x
  2. Step 2: Convert to fraction form
    12,870.37/17,765.49 = 7,566.76/x
  3. Step 3: Cross multiply
    12,870.37x = 17,765.49 × 7,566.76
  4. Step 4: Simplify right side
    12,870.37x = 134,427,199.11
  5. Step 5: Solve for x
    x = 134,427,199.11/12,870.37
  6. Step 6: Final answer
    x = 10,444.70

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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.