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Finding the Fourth Proportional to 23,437.68, 32,344.76 and 12,828.08

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Solution

The fourth proportional to 23,437.68, 32,344.76 and 12,828.08 is: 17,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437.68 : 32,344.76 = 12,828.08 : x
  2. Step 2: Convert to fraction form
    23,437.68/32,344.76 = 12,828.08/x
  3. Step 3: Cross multiply
    23,437.68x = 32,344.76 × 12,828.08
  4. Step 4: Simplify right side
    23,437.68x = 414,921,168.86
  5. Step 5: Solve for x
    x = 414,921,168.86/23,437.68
  6. Step 6: Final answer
    x = 17,703.17

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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.