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Finding the Fourth Proportional to 21,220.19, 31,783.52 and 14,167.16

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Solution

The fourth proportional to 21,220.19, 31,783.52 and 14,167.16 is: 21,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.19 : 31,783.52 = 14,167.16 : x
  2. Step 2: Convert to fraction form
    21,220.19/31,783.52 = 14,167.16/x
  3. Step 3: Cross multiply
    21,220.19x = 31,783.52 × 14,167.16
  4. Step 4: Simplify right side
    21,220.19x = 450,281,983.45
  5. Step 5: Solve for x
    x = 450,281,983.45/21,220.19
  6. Step 6: Final answer
    x = 21,219.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.