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Finding the Fourth Proportional to 21,127.32, 31,695.84 and 7,089.21

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Solution

The fourth proportional to 21,127.32, 31,695.84 and 7,089.21 is: 10,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,127.32 : 31,695.84 = 7,089.21 : x
  2. Step 2: Convert to fraction form
    21,127.32/31,695.84 = 7,089.21/x
  3. Step 3: Cross multiply
    21,127.32x = 31,695.84 × 7,089.21
  4. Step 4: Simplify right side
    21,127.32x = 224,698,465.89
  5. Step 5: Solve for x
    x = 224,698,465.89/21,127.32
  6. Step 6: Final answer
    x = 10,635.45

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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.