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Finding the Fourth Proportional to 24,700.16, 37,050.34 and 5,980.17

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Solution

The fourth proportional to 24,700.16, 37,050.34 and 5,980.17 is: 8,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.16 : 37,050.34 = 5,980.17 : x
  2. Step 2: Convert to fraction form
    24,700.16/37,050.34 = 5,980.17/x
  3. Step 3: Cross multiply
    24,700.16x = 37,050.34 × 5,980.17
  4. Step 4: Simplify right side
    24,700.16x = 221,567,116.61
  5. Step 5: Solve for x
    x = 221,567,116.61/24,700.16
  6. Step 6: Final answer
    x = 8,970.27

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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.