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Finding the Fourth Proportional to 15,806.31, 23,709.30 and 6,444.12

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Solution

The fourth proportional to 15,806.31, 23,709.30 and 6,444.12 is: 9,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.31 : 23,709.30 = 6,444.12 : x
  2. Step 2: Convert to fraction form
    15,806.31/23,709.30 = 6,444.12/x
  3. Step 3: Cross multiply
    15,806.31x = 23,709.30 × 6,444.12
  4. Step 4: Simplify right side
    15,806.31x = 152,785,574.32
  5. Step 5: Solve for x
    x = 152,785,574.32/15,806.31
  6. Step 6: Final answer
    x = 9,666.11

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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.