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Finding the Fourth Proportional to 22,477.07, 31,017.94 and 12,404.93

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Solution

The fourth proportional to 22,477.07, 31,017.94 and 12,404.93 is: 17,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.07 : 31,017.94 = 12,404.93 : x
  2. Step 2: Convert to fraction form
    22,477.07/31,017.94 = 12,404.93/x
  3. Step 3: Cross multiply
    22,477.07x = 31,017.94 × 12,404.93
  4. Step 4: Simplify right side
    22,477.07x = 384,775,188.34
  5. Step 5: Solve for x
    x = 384,775,188.34/22,477.07
  6. Step 6: Final answer
    x = 17,118.56

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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.