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Finding the Fourth Proportional to 18,006, 24,849.48 and 10,048.40

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Solution

The fourth proportional to 18,006, 24,849.48 and 10,048.40 is: 13,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,006 : 24,849.48 = 10,048.40 : x
  2. Step 2: Convert to fraction form
    18,006/24,849.48 = 10,048.40/x
  3. Step 3: Cross multiply
    18,006x = 24,849.48 × 10,048.40
  4. Step 4: Simplify right side
    18,006x = 249,697,514.83
  5. Step 5: Solve for x
    x = 249,697,514.83/18,006
  6. Step 6: Final answer
    x = 13,867.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.