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Finding the Fourth Proportional to 24,595.80, 36,869.40 and 9,784.95

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Solution

The fourth proportional to 24,595.80, 36,869.40 and 9,784.95 is: 14,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595.80 : 36,869.40 = 9,784.95 : x
  2. Step 2: Convert to fraction form
    24,595.80/36,869.40 = 9,784.95/x
  3. Step 3: Cross multiply
    24,595.80x = 36,869.40 × 9,784.95
  4. Step 4: Simplify right side
    24,595.80x = 360,765,235.53
  5. Step 5: Solve for x
    x = 360,765,235.53/24,595.80
  6. Step 6: Final answer
    x = 14,667.76

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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.