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Finding the Fourth Proportional to 16,520.16, 24,774.48 and 7,284

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Solution

The fourth proportional to 16,520.16, 24,774.48 and 7,284 is: 10,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.16 : 24,774.48 = 7,284 : x
  2. Step 2: Convert to fraction form
    16,520.16/24,774.48 = 7,284/x
  3. Step 3: Cross multiply
    16,520.16x = 24,774.48 × 7,284
  4. Step 4: Simplify right side
    16,520.16x = 180,457,312.32
  5. Step 5: Solve for x
    x = 180,457,312.32/16,520.16
  6. Step 6: Final answer
    x = 10,923.46

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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.