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Finding the Fourth Proportional to 24,823.46, 37,235.10 and 10,032.20

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Solution

The fourth proportional to 24,823.46, 37,235.10 and 10,032.20 is: 15,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.46 : 37,235.10 = 10,032.20 : x
  2. Step 2: Convert to fraction form
    24,823.46/37,235.10 = 10,032.20/x
  3. Step 3: Cross multiply
    24,823.46x = 37,235.10 × 10,032.20
  4. Step 4: Simplify right side
    24,823.46x = 373,549,970.22
  5. Step 5: Solve for x
    x = 373,549,970.22/24,823.46
  6. Step 6: Final answer
    x = 15,048.26

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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.