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Finding the Fourth Proportional to 22,681.04, 31,289.64 and 13,244

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Solution

The fourth proportional to 22,681.04, 31,289.64 and 13,244 is: 18,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.04 : 31,289.64 = 13,244 : x
  2. Step 2: Convert to fraction form
    22,681.04/31,289.64 = 13,244/x
  3. Step 3: Cross multiply
    22,681.04x = 31,289.64 × 13,244
  4. Step 4: Simplify right side
    22,681.04x = 414,399,992.16
  5. Step 5: Solve for x
    x = 414,399,992.16/22,681.04
  6. Step 6: Final answer
    x = 18,270.77

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Why These Related Problems?

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