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Finding the Fourth Proportional to 13,866.19, 19,133.13 and 7,897.98

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Solution

The fourth proportional to 13,866.19, 19,133.13 and 7,897.98 is: 10,897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.19 : 19,133.13 = 7,897.98 : x
  2. Step 2: Convert to fraction form
    13,866.19/19,133.13 = 7,897.98/x
  3. Step 3: Cross multiply
    13,866.19x = 19,133.13 × 7,897.98
  4. Step 4: Simplify right side
    13,866.19x = 151,112,982.41
  5. Step 5: Solve for x
    x = 151,112,982.41/13,866.19
  6. Step 6: Final answer
    x = 10,897.95

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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.