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Finding the Fourth Proportional to 24,599, 33,946.66 and 13,421

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Solution

The fourth proportional to 24,599, 33,946.66 and 13,421 is: 18,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,599 : 33,946.66 = 13,421 : x
  2. Step 2: Convert to fraction form
    24,599/33,946.66 = 13,421/x
  3. Step 3: Cross multiply
    24,599x = 33,946.66 × 13,421
  4. Step 4: Simplify right side
    24,599x = 455,598,123.86
  5. Step 5: Solve for x
    x = 455,598,123.86/24,599
  6. Step 6: Final answer
    x = 18,521.00

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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.