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Finding the Fourth Proportional to 23,547.39, 32,493.60 and 14,114.13

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Solution

The fourth proportional to 23,547.39, 32,493.60 and 14,114.13 is: 19,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.39 : 32,493.60 = 14,114.13 : x
  2. Step 2: Convert to fraction form
    23,547.39/32,493.60 = 14,114.13/x
  3. Step 3: Cross multiply
    23,547.39x = 32,493.60 × 14,114.13
  4. Step 4: Simplify right side
    23,547.39x = 458,618,894.57
  5. Step 5: Solve for x
    x = 458,618,894.57/23,547.39
  6. Step 6: Final answer
    x = 19,476.42

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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.