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Finding the Fourth Proportional to 23,297.88, 32,151.64 and 12,688.08

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Solution

The fourth proportional to 23,297.88, 32,151.64 and 12,688.08 is: 17,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.88 : 32,151.64 = 12,688.08 : x
  2. Step 2: Convert to fraction form
    23,297.88/32,151.64 = 12,688.08/x
  3. Step 3: Cross multiply
    23,297.88x = 32,151.64 × 12,688.08
  4. Step 4: Simplify right side
    23,297.88x = 407,942,580.45
  5. Step 5: Solve for x
    x = 407,942,580.45/23,297.88
  6. Step 6: Final answer
    x = 17,509.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.