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Finding the Fourth Proportional to 24,643.48, 34,008 and 13,465.48

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Solution

The fourth proportional to 24,643.48, 34,008 and 13,465.48 is: 18,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.48 : 34,008 = 13,465.48 : x
  2. Step 2: Convert to fraction form
    24,643.48/34,008 = 13,465.48/x
  3. Step 3: Cross multiply
    24,643.48x = 34,008 × 13,465.48
  4. Step 4: Simplify right side
    24,643.48x = 457,934,043.84
  5. Step 5: Solve for x
    x = 457,934,043.84/24,643.48
  6. Step 6: Final answer
    x = 18,582.36

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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.