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Finding the Fourth Proportional to 24,857.69, 34,304.36 and 13,528

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Solution

The fourth proportional to 24,857.69, 34,304.36 and 13,528 is: 18,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.69 : 34,304.36 = 13,528 : x
  2. Step 2: Convert to fraction form
    24,857.69/34,304.36 = 13,528/x
  3. Step 3: Cross multiply
    24,857.69x = 34,304.36 × 13,528
  4. Step 4: Simplify right side
    24,857.69x = 464,069,382.08
  5. Step 5: Solve for x
    x = 464,069,382.08/24,857.69
  6. Step 6: Final answer
    x = 18,669.05

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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.