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Finding the Fourth Proportional to 17,823.18, 24,595.22 and 9,864.93

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Solution

The fourth proportional to 17,823.18, 24,595.22 and 9,864.93 is: 13,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.18 : 24,595.22 = 9,864.93 : x
  2. Step 2: Convert to fraction form
    17,823.18/24,595.22 = 9,864.93/x
  3. Step 3: Cross multiply
    17,823.18x = 24,595.22 × 9,864.93
  4. Step 4: Simplify right side
    17,823.18x = 242,630,074.31
  5. Step 5: Solve for x
    x = 242,630,074.31/17,823.18
  6. Step 6: Final answer
    x = 13,613.18

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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.