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Finding the Fourth Proportional to 24,506, 33,818.28 and 14,570

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Solution

The fourth proportional to 24,506, 33,818.28 and 14,570 is: 20,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506 : 33,818.28 = 14,570 : x
  2. Step 2: Convert to fraction form
    24,506/33,818.28 = 14,570/x
  3. Step 3: Cross multiply
    24,506x = 33,818.28 × 14,570
  4. Step 4: Simplify right side
    24,506x = 492,732,339.60
  5. Step 5: Solve for x
    x = 492,732,339.60/24,506
  6. Step 6: Final answer
    x = 20,106.60

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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.