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Finding the Fourth Proportional to 15,984.66, 23,973.74 and 4,297.98

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Solution

The fourth proportional to 15,984.66, 23,973.74 and 4,297.98 is: 6,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.66 : 23,973.74 = 4,297.98 : x
  2. Step 2: Convert to fraction form
    15,984.66/23,973.74 = 4,297.98/x
  3. Step 3: Cross multiply
    15,984.66x = 23,973.74 × 4,297.98
  4. Step 4: Simplify right side
    15,984.66x = 103,038,655.05
  5. Step 5: Solve for x
    x = 103,038,655.05/15,984.66
  6. Step 6: Final answer
    x = 6,446.10

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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.