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Finding the Fourth Proportional to 23,538.06, 35,307.07 and 6,898.08

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Solution

The fourth proportional to 23,538.06, 35,307.07 and 6,898.08 is: 10,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.06 : 35,307.07 = 6,898.08 : x
  2. Step 2: Convert to fraction form
    23,538.06/35,307.07 = 6,898.08/x
  3. Step 3: Cross multiply
    23,538.06x = 35,307.07 × 6,898.08
  4. Step 4: Simplify right side
    23,538.06x = 243,550,993.43
  5. Step 5: Solve for x
    x = 243,550,993.43/23,538.06
  6. Step 6: Final answer
    x = 10,347.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.