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Finding the Fourth Proportional to 13,562.65, 18,718.24 and 7,897.50

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Solution

The fourth proportional to 13,562.65, 18,718.24 and 7,897.50 is: 10,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.65 : 18,718.24 = 7,897.50 : x
  2. Step 2: Convert to fraction form
    13,562.65/18,718.24 = 7,897.50/x
  3. Step 3: Cross multiply
    13,562.65x = 18,718.24 × 7,897.50
  4. Step 4: Simplify right side
    13,562.65x = 147,827,300.40
  5. Step 5: Solve for x
    x = 147,827,300.40/13,562.65
  6. Step 6: Final answer
    x = 10,899.59

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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.