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Finding the Fourth Proportional to 22,477.44, 30,994.56 and 15,312

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Solution

The fourth proportional to 22,477.44, 30,994.56 and 15,312 is: 21,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.44 : 30,994.56 = 15,312 : x
  2. Step 2: Convert to fraction form
    22,477.44/30,994.56 = 15,312/x
  3. Step 3: Cross multiply
    22,477.44x = 30,994.56 × 15,312
  4. Step 4: Simplify right side
    22,477.44x = 474,588,702.72
  5. Step 5: Solve for x
    x = 474,588,702.72/22,477.44
  6. Step 6: Final answer
    x = 21,114.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.