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Finding the Fourth Proportional to 12,018, 16,569.72 and 9,287.76

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Solution

The fourth proportional to 12,018, 16,569.72 and 9,287.76 is: 12,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018 : 16,569.72 = 9,287.76 : x
  2. Step 2: Convert to fraction form
    12,018/16,569.72 = 9,287.76/x
  3. Step 3: Cross multiply
    12,018x = 16,569.72 × 9,287.76
  4. Step 4: Simplify right side
    12,018x = 153,895,582.63
  5. Step 5: Solve for x
    x = 153,895,582.63/12,018
  6. Step 6: Final answer
    x = 12,805.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.