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Finding the Fourth Proportional to 22,548.93, 31,117.57 and 12,478.06

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Solution

The fourth proportional to 22,548.93, 31,117.57 and 12,478.06 is: 17,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548.93 : 31,117.57 = 12,478.06 : x
  2. Step 2: Convert to fraction form
    22,548.93/31,117.57 = 12,478.06/x
  3. Step 3: Cross multiply
    22,548.93x = 31,117.57 × 12,478.06
  4. Step 4: Simplify right side
    22,548.93x = 388,286,808.37
  5. Step 5: Solve for x
    x = 388,286,808.37/22,548.93
  6. Step 6: Final answer
    x = 17,219.75

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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.