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Finding the Fourth Proportional to 13,561.18, 18,715.47 and 7,897.69

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Solution

The fourth proportional to 13,561.18, 18,715.47 and 7,897.69 is: 10,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.18 : 18,715.47 = 7,897.69 : x
  2. Step 2: Convert to fraction form
    13,561.18/18,715.47 = 7,897.69/x
  3. Step 3: Cross multiply
    13,561.18x = 18,715.47 × 7,897.69
  4. Step 4: Simplify right side
    13,561.18x = 147,808,980.26
  5. Step 5: Solve for x
    x = 147,808,980.26/13,561.18
  6. Step 6: Final answer
    x = 10,899.42

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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.