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Finding the Fourth Proportional to 19,547.47, 26,974.84 and 11,584.98

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Solution

The fourth proportional to 19,547.47, 26,974.84 and 11,584.98 is: 15,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.47 : 26,974.84 = 11,584.98 : x
  2. Step 2: Convert to fraction form
    19,547.47/26,974.84 = 11,584.98/x
  3. Step 3: Cross multiply
    19,547.47x = 26,974.84 × 11,584.98
  4. Step 4: Simplify right side
    19,547.47x = 312,502,981.90
  5. Step 5: Solve for x
    x = 312,502,981.90/19,547.47
  6. Step 6: Final answer
    x = 15,986.88

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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.