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Finding the Fourth Proportional to 21,124.72, 31,689.96 and 7,270

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Solution

The fourth proportional to 21,124.72, 31,689.96 and 7,270 is: 10,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.72 : 31,689.96 = 7,270 : x
  2. Step 2: Convert to fraction form
    21,124.72/31,689.96 = 7,270/x
  3. Step 3: Cross multiply
    21,124.72x = 31,689.96 × 7,270
  4. Step 4: Simplify right side
    21,124.72x = 230,386,009.20
  5. Step 5: Solve for x
    x = 230,386,009.20/21,124.72
  6. Step 6: Final answer
    x = 10,905.99

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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.