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Finding the Fourth Proportional to 17,723.34, 26,587.44 and 7,862.40

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Solution

The fourth proportional to 17,723.34, 26,587.44 and 7,862.40 is: 11,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.34 : 26,587.44 = 7,862.40 : x
  2. Step 2: Convert to fraction form
    17,723.34/26,587.44 = 7,862.40/x
  3. Step 3: Cross multiply
    17,723.34x = 26,587.44 × 7,862.40
  4. Step 4: Simplify right side
    17,723.34x = 209,041,088.26
  5. Step 5: Solve for x
    x = 209,041,088.26/17,723.34
  6. Step 6: Final answer
    x = 11,794.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.