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Finding the Fourth Proportional to 13,093.32, 18,068.46 and 7,125

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Solution

The fourth proportional to 13,093.32, 18,068.46 and 7,125 is: 9,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.32 : 18,068.46 = 7,125 : x
  2. Step 2: Convert to fraction form
    13,093.32/18,068.46 = 7,125/x
  3. Step 3: Cross multiply
    13,093.32x = 18,068.46 × 7,125
  4. Step 4: Simplify right side
    13,093.32x = 128,737,777.50
  5. Step 5: Solve for x
    x = 128,737,777.50/13,093.32
  6. Step 6: Final answer
    x = 9,832.32

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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.