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Finding the Fourth Proportional to 17,946.42, 24,775.04 and 13,904.23

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Solution

The fourth proportional to 17,946.42, 24,775.04 and 13,904.23 is: 19,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.42 : 24,775.04 = 13,904.23 : x
  2. Step 2: Convert to fraction form
    17,946.42/24,775.04 = 13,904.23/x
  3. Step 3: Cross multiply
    17,946.42x = 24,775.04 × 13,904.23
  4. Step 4: Simplify right side
    17,946.42x = 344,477,854.42
  5. Step 5: Solve for x
    x = 344,477,854.42/17,946.42
  6. Step 6: Final answer
    x = 19,194.80

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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.