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Finding the Fourth Proportional to 22,533.72, 31,095.54 and 12,973.20

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Solution

The fourth proportional to 22,533.72, 31,095.54 and 12,973.20 is: 17,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.72 : 31,095.54 = 12,973.20 : x
  2. Step 2: Convert to fraction form
    22,533.72/31,095.54 = 12,973.20/x
  3. Step 3: Cross multiply
    22,533.72x = 31,095.54 × 12,973.20
  4. Step 4: Simplify right side
    22,533.72x = 403,408,659.53
  5. Step 5: Solve for x
    x = 403,408,659.53/22,533.72
  6. Step 6: Final answer
    x = 17,902.44

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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.