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Finding the Fourth Proportional to 17,801, 24,567.54 and 10,349

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Solution

The fourth proportional to 17,801, 24,567.54 and 10,349 is: 14,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801 : 24,567.54 = 10,349 : x
  2. Step 2: Convert to fraction form
    17,801/24,567.54 = 10,349/x
  3. Step 3: Cross multiply
    17,801x = 24,567.54 × 10,349
  4. Step 4: Simplify right side
    17,801x = 254,249,471.46
  5. Step 5: Solve for x
    x = 254,249,471.46/17,801
  6. Step 6: Final answer
    x = 14,282.88

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1.5x scale

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.