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Finding the Fourth Proportional to 16,202.16, 24,302.88 and 4,356

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Solution

The fourth proportional to 16,202.16, 24,302.88 and 4,356 is: 6,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.16 : 24,302.88 = 4,356 : x
  2. Step 2: Convert to fraction form
    16,202.16/24,302.88 = 4,356/x
  3. Step 3: Cross multiply
    16,202.16x = 24,302.88 × 4,356
  4. Step 4: Simplify right side
    16,202.16x = 105,863,345.28
  5. Step 5: Solve for x
    x = 105,863,345.28/16,202.16
  6. Step 6: Final answer
    x = 6,533.90

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Why These Related Problems?

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