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Finding the Fourth Proportional to 13,030.88, 19,572.51 and 7,776.15

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Solution

The fourth proportional to 13,030.88, 19,572.51 and 7,776.15 is: 11,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.88 : 19,572.51 = 7,776.15 : x
  2. Step 2: Convert to fraction form
    13,030.88/19,572.51 = 7,776.15/x
  3. Step 3: Cross multiply
    13,030.88x = 19,572.51 × 7,776.15
  4. Step 4: Simplify right side
    13,030.88x = 152,198,773.64
  5. Step 5: Solve for x
    x = 152,198,773.64/13,030.88
  6. Step 6: Final answer
    x = 11,679.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.