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Finding the Fourth Proportional to 30,114.69, 41,557.16 and 17,368.40

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Solution

The fourth proportional to 30,114.69, 41,557.16 and 17,368.40 is: 23,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.69 : 41,557.16 = 17,368.40 : x
  2. Step 2: Convert to fraction form
    30,114.69/41,557.16 = 17,368.40/x
  3. Step 3: Cross multiply
    30,114.69x = 41,557.16 × 17,368.40
  4. Step 4: Simplify right side
    30,114.69x = 721,781,083.12
  5. Step 5: Solve for x
    x = 721,781,083.12/30,114.69
  6. Step 6: Final answer
    x = 23,967.74

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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.