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Finding the Fourth Proportional to 16,430.45, 24,639.19 and 7,071.17

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Solution

The fourth proportional to 16,430.45, 24,639.19 and 7,071.17 is: 10,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.45 : 24,639.19 = 7,071.17 : x
  2. Step 2: Convert to fraction form
    16,430.45/24,639.19 = 7,071.17/x
  3. Step 3: Cross multiply
    16,430.45x = 24,639.19 × 7,071.17
  4. Step 4: Simplify right side
    16,430.45x = 174,227,901.15
  5. Step 5: Solve for x
    x = 174,227,901.15/16,430.45
  6. Step 6: Final answer
    x = 10,603.96

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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.