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Finding the Fourth Proportional to 17,407.99, 24,023.00 and 9,854.18

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Solution

The fourth proportional to 17,407.99, 24,023.00 and 9,854.18 is: 13,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.99 : 24,023.00 = 9,854.18 : x
  2. Step 2: Convert to fraction form
    17,407.99/24,023.00 = 9,854.18/x
  3. Step 3: Cross multiply
    17,407.99x = 24,023.00 × 9,854.18
  4. Step 4: Simplify right side
    17,407.99x = 236,726,916.87
  5. Step 5: Solve for x
    x = 236,726,916.87/17,407.99
  6. Step 6: Final answer
    x = 13,598.75

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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.