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Finding the Fourth Proportional to 15,924.81, 21,970.11 and 10,259.12

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Solution

The fourth proportional to 15,924.81, 21,970.11 and 10,259.12 is: 14,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.81 : 21,970.11 = 10,259.12 : x
  2. Step 2: Convert to fraction form
    15,924.81/21,970.11 = 10,259.12/x
  3. Step 3: Cross multiply
    15,924.81x = 21,970.11 × 10,259.12
  4. Step 4: Simplify right side
    15,924.81x = 225,394,088.30
  5. Step 5: Solve for x
    x = 225,394,088.30/15,924.81
  6. Step 6: Final answer
    x = 14,153.64

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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.