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Finding the Fourth Proportional to 23,411.69, 32,309.15 and 13,206.15

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Solution

The fourth proportional to 23,411.69, 32,309.15 and 13,206.15 is: 18,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411.69 : 32,309.15 = 13,206.15 : x
  2. Step 2: Convert to fraction form
    23,411.69/32,309.15 = 13,206.15/x
  3. Step 3: Cross multiply
    23,411.69x = 32,309.15 × 13,206.15
  4. Step 4: Simplify right side
    23,411.69x = 426,679,415.24
  5. Step 5: Solve for x
    x = 426,679,415.24/23,411.69
  6. Step 6: Final answer
    x = 18,225.06

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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.