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Finding the Fourth Proportional to 24,506, 33,818.54 and 13,328.24

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Solution

The fourth proportional to 24,506, 33,818.54 and 13,328.24 is: 18,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506 : 33,818.54 = 13,328.24 : x
  2. Step 2: Convert to fraction form
    24,506/33,818.54 = 13,328.24/x
  3. Step 3: Cross multiply
    24,506x = 33,818.54 × 13,328.24
  4. Step 4: Simplify right side
    24,506x = 450,741,617.57
  5. Step 5: Solve for x
    x = 450,741,617.57/24,506
  6. Step 6: Final answer
    x = 18,393.11

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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.