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Finding the Fourth Proportional to 16,289.96, 24,434.86 and 4,603.14

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Solution

The fourth proportional to 16,289.96, 24,434.86 and 4,603.14 is: 6,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.96 : 24,434.86 = 4,603.14 : x
  2. Step 2: Convert to fraction form
    16,289.96/24,434.86 = 4,603.14/x
  3. Step 3: Cross multiply
    16,289.96x = 24,434.86 × 4,603.14
  4. Step 4: Simplify right side
    16,289.96x = 112,477,081.46
  5. Step 5: Solve for x
    x = 112,477,081.46/16,289.96
  6. Step 6: Final answer
    x = 6,904.69

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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.