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Finding the Fourth Proportional to 12,886.95, 17,792.52 and 9,897.42

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Solution

The fourth proportional to 12,886.95, 17,792.52 and 9,897.42 is: 13,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.95 : 17,792.52 = 9,897.42 : x
  2. Step 2: Convert to fraction form
    12,886.95/17,792.52 = 9,897.42/x
  3. Step 3: Cross multiply
    12,886.95x = 17,792.52 × 9,897.42
  4. Step 4: Simplify right side
    12,886.95x = 176,100,043.30
  5. Step 5: Solve for x
    x = 176,100,043.30/12,886.95
  6. Step 6: Final answer
    x = 13,664.99

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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.