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Finding the Fourth Proportional to 12,947.84, 17,868.56 and 7,642.65

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Solution

The fourth proportional to 12,947.84, 17,868.56 and 7,642.65 is: 10,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.84 : 17,868.56 = 7,642.65 : x
  2. Step 2: Convert to fraction form
    12,947.84/17,868.56 = 7,642.65/x
  3. Step 3: Cross multiply
    12,947.84x = 17,868.56 × 7,642.65
  4. Step 4: Simplify right side
    12,947.84x = 136,563,111.87
  5. Step 5: Solve for x
    x = 136,563,111.87/12,947.84
  6. Step 6: Final answer
    x = 10,547.18

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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.