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Finding the Fourth Proportional to 21,137.65, 31,705.38 and 7,097.79

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Solution

The fourth proportional to 21,137.65, 31,705.38 and 7,097.79 is: 10,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.65 : 31,705.38 = 7,097.79 : x
  2. Step 2: Convert to fraction form
    21,137.65/31,705.38 = 7,097.79/x
  3. Step 3: Cross multiply
    21,137.65x = 31,705.38 × 7,097.79
  4. Step 4: Simplify right side
    21,137.65x = 225,038,129.11
  5. Step 5: Solve for x
    x = 225,038,129.11/21,137.65
  6. Step 6: Final answer
    x = 10,646.32

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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.