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Finding the Fourth Proportional to 15,513.89, 21,410.74 and 9,142.46

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Solution

The fourth proportional to 15,513.89, 21,410.74 and 9,142.46 is: 12,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.89 : 21,410.74 = 9,142.46 : x
  2. Step 2: Convert to fraction form
    15,513.89/21,410.74 = 9,142.46/x
  3. Step 3: Cross multiply
    15,513.89x = 21,410.74 × 9,142.46
  4. Step 4: Simplify right side
    15,513.89x = 195,746,864.69
  5. Step 5: Solve for x
    x = 195,746,864.69/15,513.89
  6. Step 6: Final answer
    x = 12,617.53

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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.