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Finding the Fourth Proportional to 12,897.77, 19,258.40 and 11,554.91

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Solution

The fourth proportional to 12,897.77, 19,258.40 and 11,554.91 is: 17,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.77 : 19,258.40 = 11,554.91 : x
  2. Step 2: Convert to fraction form
    12,897.77/19,258.40 = 11,554.91/x
  3. Step 3: Cross multiply
    12,897.77x = 19,258.40 × 11,554.91
  4. Step 4: Simplify right side
    12,897.77x = 222,529,069.12
  5. Step 5: Solve for x
    x = 222,529,069.12/12,897.77
  6. Step 6: Final answer
    x = 17,253.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.