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Finding the Fourth Proportional to 24,598.74, 33,946.10 and 13,988.38

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Solution

The fourth proportional to 24,598.74, 33,946.10 and 13,988.38 is: 19,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.74 : 33,946.10 = 13,988.38 : x
  2. Step 2: Convert to fraction form
    24,598.74/33,946.10 = 13,988.38/x
  3. Step 3: Cross multiply
    24,598.74x = 33,946.10 × 13,988.38
  4. Step 4: Simplify right side
    24,598.74x = 474,850,946.32
  5. Step 5: Solve for x
    x = 474,850,946.32/24,598.74
  6. Step 6: Final answer
    x = 19,303.87

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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.