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Finding the Fourth Proportional to 16,402.14, 24,603.48 and 4,715.40

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Solution

The fourth proportional to 16,402.14, 24,603.48 and 4,715.40 is: 7,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.14 : 24,603.48 = 4,715.40 : x
  2. Step 2: Convert to fraction form
    16,402.14/24,603.48 = 4,715.40/x
  3. Step 3: Cross multiply
    16,402.14x = 24,603.48 × 4,715.40
  4. Step 4: Simplify right side
    16,402.14x = 116,015,249.59
  5. Step 5: Solve for x
    x = 116,015,249.59/16,402.14
  6. Step 6: Final answer
    x = 7,073.18

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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.