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Finding the Fourth Proportional to 13,574.76, 18,720 and 10,589.52

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Solution

The fourth proportional to 13,574.76, 18,720 and 10,589.52 is: 14,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.76 : 18,720 = 10,589.52 : x
  2. Step 2: Convert to fraction form
    13,574.76/18,720 = 10,589.52/x
  3. Step 3: Cross multiply
    13,574.76x = 18,720 × 10,589.52
  4. Step 4: Simplify right side
    13,574.76x = 198,235,814.40
  5. Step 5: Solve for x
    x = 198,235,814.40/13,574.76
  6. Step 6: Final answer
    x = 14,603.26

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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.