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Finding the Fourth Proportional to 17,642, 24,345.12 and 10,567.04

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Solution

The fourth proportional to 17,642, 24,345.12 and 10,567.04 is: 14,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642 : 24,345.12 = 10,567.04 : x
  2. Step 2: Convert to fraction form
    17,642/24,345.12 = 10,567.04/x
  3. Step 3: Cross multiply
    17,642x = 24,345.12 × 10,567.04
  4. Step 4: Simplify right side
    17,642x = 257,255,856.84
  5. Step 5: Solve for x
    x = 257,255,856.84/17,642
  6. Step 6: Final answer
    x = 14,582.01

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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.