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Finding the Fourth Proportional to 12,416.29, 18,603.95 and 7,155.72

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Solution

The fourth proportional to 12,416.29, 18,603.95 and 7,155.72 is: 10,721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.29 : 18,603.95 = 7,155.72 : x
  2. Step 2: Convert to fraction form
    12,416.29/18,603.95 = 7,155.72/x
  3. Step 3: Cross multiply
    12,416.29x = 18,603.95 × 7,155.72
  4. Step 4: Simplify right side
    12,416.29x = 133,124,546.18
  5. Step 5: Solve for x
    x = 133,124,546.18/12,416.29
  6. Step 6: Final answer
    x = 10,721.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.