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Finding the Fourth Proportional to 28,302, 42,459.48 and 9,834

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Solution

The fourth proportional to 28,302, 42,459.48 and 9,834 is: 14,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,302 : 42,459.48 = 9,834 : x
  2. Step 2: Convert to fraction form
    28,302/42,459.48 = 9,834/x
  3. Step 3: Cross multiply
    28,302x = 42,459.48 × 9,834
  4. Step 4: Simplify right side
    28,302x = 417,546,526.32
  5. Step 5: Solve for x
    x = 417,546,526.32/28,302
  6. Step 6: Final answer
    x = 14,753.25

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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.