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Finding the Fourth Proportional to 15,924.42, 21,970.17 and 9,869.94

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Solution

The fourth proportional to 15,924.42, 21,970.17 and 9,869.94 is: 13,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.42 : 21,970.17 = 9,869.94 : x
  2. Step 2: Convert to fraction form
    15,924.42/21,970.17 = 9,869.94/x
  3. Step 3: Cross multiply
    15,924.42x = 21,970.17 × 9,869.94
  4. Step 4: Simplify right side
    15,924.42x = 216,844,259.69
  5. Step 5: Solve for x
    x = 216,844,259.69/15,924.42
  6. Step 6: Final answer
    x = 13,617.09

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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.