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Finding the Fourth Proportional to 21,293.96, 31,970.38 and 14,703.88

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Solution

The fourth proportional to 21,293.96, 31,970.38 and 14,703.88 is: 22,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,293.96 : 31,970.38 = 14,703.88 : x
  2. Step 2: Convert to fraction form
    21,293.96/31,970.38 = 14,703.88/x
  3. Step 3: Cross multiply
    21,293.96x = 31,970.38 × 14,703.88
  4. Step 4: Simplify right side
    21,293.96x = 470,088,631.07
  5. Step 5: Solve for x
    x = 470,088,631.07/21,293.96
  6. Step 6: Final answer
    x = 22,076.15

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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.