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Finding the Fourth Proportional to 21,724.39, 32,564.98 and 12,345

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Solution

The fourth proportional to 21,724.39, 32,564.98 and 12,345 is: 18,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.39 : 32,564.98 = 12,345 : x
  2. Step 2: Convert to fraction form
    21,724.39/32,564.98 = 12,345/x
  3. Step 3: Cross multiply
    21,724.39x = 32,564.98 × 12,345
  4. Step 4: Simplify right side
    21,724.39x = 402,014,678.10
  5. Step 5: Solve for x
    x = 402,014,678.10/21,724.39
  6. Step 6: Final answer
    x = 18,505.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.