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Finding the Fourth Proportional to 24,823.60, 37,228.20 and 10,027.60

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Solution

The fourth proportional to 24,823.60, 37,228.20 and 10,027.60 is: 15,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.60 : 37,228.20 = 10,027.60 : x
  2. Step 2: Convert to fraction form
    24,823.60/37,228.20 = 10,027.60/x
  3. Step 3: Cross multiply
    24,823.60x = 37,228.20 × 10,027.60
  4. Step 4: Simplify right side
    24,823.60x = 373,309,498.32
  5. Step 5: Solve for x
    x = 373,309,498.32/24,823.60
  6. Step 6: Final answer
    x = 15,038.49

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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.