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Finding the Fourth Proportional to 24,332, 33,578.24 and 13,154.08

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Solution

The fourth proportional to 24,332, 33,578.24 and 13,154.08 is: 18,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332 : 33,578.24 = 13,154.08 : x
  2. Step 2: Convert to fraction form
    24,332/33,578.24 = 13,154.08/x
  3. Step 3: Cross multiply
    24,332x = 33,578.24 × 13,154.08
  4. Step 4: Simplify right side
    24,332x = 441,690,855.22
  5. Step 5: Solve for x
    x = 441,690,855.22/24,332
  6. Step 6: Final answer
    x = 18,152.67

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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.