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Finding the Fourth Proportional to 22,477.69, 30,994.91 and 15,312.25

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Solution

The fourth proportional to 22,477.69, 30,994.91 and 15,312.25 is: 21,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.69 : 30,994.91 = 15,312.25 : x
  2. Step 2: Convert to fraction form
    22,477.69/30,994.91 = 15,312.25/x
  3. Step 3: Cross multiply
    22,477.69x = 30,994.91 × 15,312.25
  4. Step 4: Simplify right side
    22,477.69x = 474,601,734.09
  5. Step 5: Solve for x
    x = 474,601,734.09/22,477.69
  6. Step 6: Final answer
    x = 21,114.35

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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.