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Finding the Fourth Proportional to 15,880.91, 21,905.69 and 10,223.01

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Solution

The fourth proportional to 15,880.91, 21,905.69 and 10,223.01 is: 14,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.91 : 21,905.69 = 10,223.01 : x
  2. Step 2: Convert to fraction form
    15,880.91/21,905.69 = 10,223.01/x
  3. Step 3: Cross multiply
    15,880.91x = 21,905.69 × 10,223.01
  4. Step 4: Simplify right side
    15,880.91x = 223,942,036.81
  5. Step 5: Solve for x
    x = 223,942,036.81/15,880.91
  6. Step 6: Final answer
    x = 14,101.34

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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.