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Finding the Fourth Proportional to 24,038.52, 36,048.04 and 9,989

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Solution

The fourth proportional to 24,038.52, 36,048.04 and 9,989 is: 14,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038.52 : 36,048.04 = 9,989 : x
  2. Step 2: Convert to fraction form
    24,038.52/36,048.04 = 9,989/x
  3. Step 3: Cross multiply
    24,038.52x = 36,048.04 × 9,989
  4. Step 4: Simplify right side
    24,038.52x = 360,083,871.56
  5. Step 5: Solve for x
    x = 360,083,871.56/24,038.52
  6. Step 6: Final answer
    x = 14,979.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.