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Finding the Fourth Proportional to 24,710.46, 37,069.29 and 7,178.01

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Solution

The fourth proportional to 24,710.46, 37,069.29 and 7,178.01 is: 10,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.46 : 37,069.29 = 7,178.01 : x
  2. Step 2: Convert to fraction form
    24,710.46/37,069.29 = 7,178.01/x
  3. Step 3: Cross multiply
    24,710.46x = 37,069.29 × 7,178.01
  4. Step 4: Simplify right side
    24,710.46x = 266,083,734.31
  5. Step 5: Solve for x
    x = 266,083,734.31/24,710.46
  6. Step 6: Final answer
    x = 10,768.06

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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.