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Finding the Fourth Proportional to 22,971.60, 31,698.40 and 15,416.40

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Solution

The fourth proportional to 22,971.60, 31,698.40 and 15,416.40 is: 21,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.60 : 31,698.40 = 15,416.40 : x
  2. Step 2: Convert to fraction form
    22,971.60/31,698.40 = 15,416.40/x
  3. Step 3: Cross multiply
    22,971.60x = 31,698.40 × 15,416.40
  4. Step 4: Simplify right side
    22,971.60x = 488,675,213.76
  5. Step 5: Solve for x
    x = 488,675,213.76/22,971.60
  6. Step 6: Final answer
    x = 21,273.02

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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.