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Finding the Fourth Proportional to 13,378.23, 18,462.02 and 7,410.02

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Solution

The fourth proportional to 13,378.23, 18,462.02 and 7,410.02 is: 10,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.23 : 18,462.02 = 7,410.02 : x
  2. Step 2: Convert to fraction form
    13,378.23/18,462.02 = 7,410.02/x
  3. Step 3: Cross multiply
    13,378.23x = 18,462.02 × 7,410.02
  4. Step 4: Simplify right side
    13,378.23x = 136,803,808.08
  5. Step 5: Solve for x
    x = 136,803,808.08/13,378.23
  6. Step 6: Final answer
    x = 10,225.85

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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.