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Finding the Fourth Proportional to 19,897.16, 27,458.10 and 11,513.80

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Solution

The fourth proportional to 19,897.16, 27,458.10 and 11,513.80 is: 15,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,897.16 : 27,458.10 = 11,513.80 : x
  2. Step 2: Convert to fraction form
    19,897.16/27,458.10 = 11,513.80/x
  3. Step 3: Cross multiply
    19,897.16x = 27,458.10 × 11,513.80
  4. Step 4: Simplify right side
    19,897.16x = 316,147,071.78
  5. Step 5: Solve for x
    x = 316,147,071.78/19,897.16
  6. Step 6: Final answer
    x = 15,889.06

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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.