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Finding the Fourth Proportional to 13,423.68, 18,522.56 and 7,756.32

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Solution

The fourth proportional to 13,423.68, 18,522.56 and 7,756.32 is: 10,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.68 : 18,522.56 = 7,756.32 : x
  2. Step 2: Convert to fraction form
    13,423.68/18,522.56 = 7,756.32/x
  3. Step 3: Cross multiply
    13,423.68x = 18,522.56 × 7,756.32
  4. Step 4: Simplify right side
    13,423.68x = 143,666,902.58
  5. Step 5: Solve for x
    x = 143,666,902.58/13,423.68
  6. Step 6: Final answer
    x = 10,702.50

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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.