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Finding the Fourth Proportional to 24,397.76, 33,669.76 and 13,788.48

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Solution

The fourth proportional to 24,397.76, 33,669.76 and 13,788.48 is: 19,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.76 : 33,669.76 = 13,788.48 : x
  2. Step 2: Convert to fraction form
    24,397.76/33,669.76 = 13,788.48/x
  3. Step 3: Cross multiply
    24,397.76x = 33,669.76 × 13,788.48
  4. Step 4: Simplify right side
    24,397.76x = 464,254,812.36
  5. Step 5: Solve for x
    x = 464,254,812.36/24,397.76
  6. Step 6: Final answer
    x = 19,028.58

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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.