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Finding the Fourth Proportional to 19,589.16, 27,013.50 and 12,513

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Solution

The fourth proportional to 19,589.16, 27,013.50 and 12,513 is: 17,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.16 : 27,013.50 = 12,513 : x
  2. Step 2: Convert to fraction form
    19,589.16/27,013.50 = 12,513/x
  3. Step 3: Cross multiply
    19,589.16x = 27,013.50 × 12,513
  4. Step 4: Simplify right side
    19,589.16x = 338,019,925.50
  5. Step 5: Solve for x
    x = 338,019,925.50/19,589.16
  6. Step 6: Final answer
    x = 17,255.46

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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.