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Finding the Fourth Proportional to 22,969.12, 31,697.12 and 12,897.33

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Solution

The fourth proportional to 22,969.12, 31,697.12 and 12,897.33 is: 17,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.12 : 31,697.12 = 12,897.33 : x
  2. Step 2: Convert to fraction form
    22,969.12/31,697.12 = 12,897.33/x
  3. Step 3: Cross multiply
    22,969.12x = 31,697.12 × 12,897.33
  4. Step 4: Simplify right side
    22,969.12x = 408,808,130.07
  5. Step 5: Solve for x
    x = 408,808,130.07/22,969.12
  6. Step 6: Final answer
    x = 17,798.16

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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.