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Finding the Fourth Proportional to 24,149.02, 36,223.35 and 7,509.02

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Solution

The fourth proportional to 24,149.02, 36,223.35 and 7,509.02 is: 11,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.02 : 36,223.35 = 7,509.02 : x
  2. Step 2: Convert to fraction form
    24,149.02/36,223.35 = 7,509.02/x
  3. Step 3: Cross multiply
    24,149.02x = 36,223.35 × 7,509.02
  4. Step 4: Simplify right side
    24,149.02x = 272,001,786.18
  5. Step 5: Solve for x
    x = 272,001,786.18/24,149.02
  6. Step 6: Final answer
    x = 11,263.47

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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.