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Finding the Fourth Proportional to 24,428, 33,710.64 and 13,250.08

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Solution

The fourth proportional to 24,428, 33,710.64 and 13,250.08 is: 18,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428 : 33,710.64 = 13,250.08 : x
  2. Step 2: Convert to fraction form
    24,428/33,710.64 = 13,250.08/x
  3. Step 3: Cross multiply
    24,428x = 33,710.64 × 13,250.08
  4. Step 4: Simplify right side
    24,428x = 446,668,676.85
  5. Step 5: Solve for x
    x = 446,668,676.85/24,428
  6. Step 6: Final answer
    x = 18,285.11

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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.