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Finding the Fourth Proportional to 16,823.40, 25,235.10 and 5,726.40

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Solution

The fourth proportional to 16,823.40, 25,235.10 and 5,726.40 is: 8,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.40 : 25,235.10 = 5,726.40 : x
  2. Step 2: Convert to fraction form
    16,823.40/25,235.10 = 5,726.40/x
  3. Step 3: Cross multiply
    16,823.40x = 25,235.10 × 5,726.40
  4. Step 4: Simplify right side
    16,823.40x = 144,506,276.64
  5. Step 5: Solve for x
    x = 144,506,276.64/16,823.40
  6. Step 6: Final answer
    x = 8,589.60

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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.