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Finding the Fourth Proportional to 12,569.84, 17,347.74 and 8,036.63

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Solution

The fourth proportional to 12,569.84, 17,347.74 and 8,036.63 is: 11,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.84 : 17,347.74 = 8,036.63 : x
  2. Step 2: Convert to fraction form
    12,569.84/17,347.74 = 8,036.63/x
  3. Step 3: Cross multiply
    12,569.84x = 17,347.74 × 8,036.63
  4. Step 4: Simplify right side
    12,569.84x = 139,417,367.72
  5. Step 5: Solve for x
    x = 139,417,367.72/12,569.84
  6. Step 6: Final answer
    x = 11,091.42

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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.