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Finding the Fourth Proportional to 16,854.62, 23,264.62 and 10,570.64

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Solution

The fourth proportional to 16,854.62, 23,264.62 and 10,570.64 is: 14,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.62 : 23,264.62 = 10,570.64 : x
  2. Step 2: Convert to fraction form
    16,854.62/23,264.62 = 10,570.64/x
  3. Step 3: Cross multiply
    16,854.62x = 23,264.62 × 10,570.64
  4. Step 4: Simplify right side
    16,854.62x = 245,921,780.01
  5. Step 5: Solve for x
    x = 245,921,780.01/16,854.62
  6. Step 6: Final answer
    x = 14,590.77

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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.