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Finding the Fourth Proportional to 24,307.80, 33,543.54 and 13,698.06

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Solution

The fourth proportional to 24,307.80, 33,543.54 and 13,698.06 is: 18,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.80 : 33,543.54 = 13,698.06 : x
  2. Step 2: Convert to fraction form
    24,307.80/33,543.54 = 13,698.06/x
  3. Step 3: Cross multiply
    24,307.80x = 33,543.54 × 13,698.06
  4. Step 4: Simplify right side
    24,307.80x = 459,481,423.53
  5. Step 5: Solve for x
    x = 459,481,423.53/24,307.80
  6. Step 6: Final answer
    x = 18,902.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.