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Finding the Fourth Proportional to 28,017, 42,032.16 and 9,549

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Solution

The fourth proportional to 28,017, 42,032.16 and 9,549 is: 14,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,017 : 42,032.16 = 9,549 : x
  2. Step 2: Convert to fraction form
    28,017/42,032.16 = 9,549/x
  3. Step 3: Cross multiply
    28,017x = 42,032.16 × 9,549
  4. Step 4: Simplify right side
    28,017x = 401,365,095.84
  5. Step 5: Solve for x
    x = 401,365,095.84/28,017
  6. Step 6: Final answer
    x = 14,325.77

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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.