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Finding the Fourth Proportional to 13,378.32, 18,461.76 and 7,410.24

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Solution

The fourth proportional to 13,378.32, 18,461.76 and 7,410.24 is: 10,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.32 : 18,461.76 = 7,410.24 : x
  2. Step 2: Convert to fraction form
    13,378.32/18,461.76 = 7,410.24/x
  3. Step 3: Cross multiply
    13,378.32x = 18,461.76 × 7,410.24
  4. Step 4: Simplify right side
    13,378.32x = 136,806,072.42
  5. Step 5: Solve for x
    x = 136,806,072.42/13,378.32
  6. Step 6: Final answer
    x = 10,225.95

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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.