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Finding the Fourth Proportional to 15,810.34, 23,719.83 and 6,444.58

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Solution

The fourth proportional to 15,810.34, 23,719.83 and 6,444.58 is: 9,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810.34 : 23,719.83 = 6,444.58 : x
  2. Step 2: Convert to fraction form
    15,810.34/23,719.83 = 6,444.58/x
  3. Step 3: Cross multiply
    15,810.34x = 23,719.83 × 6,444.58
  4. Step 4: Simplify right side
    15,810.34x = 152,864,342.02
  5. Step 5: Solve for x
    x = 152,864,342.02/15,810.34
  6. Step 6: Final answer
    x = 9,668.63

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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.