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Finding the Fourth Proportional to 13,378.34, 18,461.30 and 7,854.68

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Solution

The fourth proportional to 13,378.34, 18,461.30 and 7,854.68 is: 10,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.34 : 18,461.30 = 7,854.68 : x
  2. Step 2: Convert to fraction form
    13,378.34/18,461.30 = 7,854.68/x
  3. Step 3: Cross multiply
    13,378.34x = 18,461.30 × 7,854.68
  4. Step 4: Simplify right side
    13,378.34x = 145,007,603.88
  5. Step 5: Solve for x
    x = 145,007,603.88/13,378.34
  6. Step 6: Final answer
    x = 10,838.98

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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.