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Finding the Fourth Proportional to 24,783.52, 37,177.40 and 7,014.24

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Solution

The fourth proportional to 24,783.52, 37,177.40 and 7,014.24 is: 10,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.52 : 37,177.40 = 7,014.24 : x
  2. Step 2: Convert to fraction form
    24,783.52/37,177.40 = 7,014.24/x
  3. Step 3: Cross multiply
    24,783.52x = 37,177.40 × 7,014.24
  4. Step 4: Simplify right side
    24,783.52x = 260,771,206.18
  5. Step 5: Solve for x
    x = 260,771,206.18/24,783.52
  6. Step 6: Final answer
    x = 10,521.96

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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.