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Finding the Fourth Proportional to 13,029.87, 19,570.96 and 7,775.15

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Solution

The fourth proportional to 13,029.87, 19,570.96 and 7,775.15 is: 11,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.87 : 19,570.96 = 7,775.15 : x
  2. Step 2: Convert to fraction form
    13,029.87/19,570.96 = 7,775.15/x
  3. Step 3: Cross multiply
    13,029.87x = 19,570.96 × 7,775.15
  4. Step 4: Simplify right side
    13,029.87x = 152,167,061.51
  5. Step 5: Solve for x
    x = 152,167,061.51/13,029.87
  6. Step 6: Final answer
    x = 11,678.32

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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.