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Finding the Fourth Proportional to 23,298.59, 32,150.94 and 12,688.16

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Solution

The fourth proportional to 23,298.59, 32,150.94 and 12,688.16 is: 17,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298.59 : 32,150.94 = 12,688.16 : x
  2. Step 2: Convert to fraction form
    23,298.59/32,150.94 = 12,688.16/x
  3. Step 3: Cross multiply
    23,298.59x = 32,150.94 × 12,688.16
  4. Step 4: Simplify right side
    23,298.59x = 407,936,270.87
  5. Step 5: Solve for x
    x = 407,936,270.87/23,298.59
  6. Step 6: Final answer
    x = 17,509.05

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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.