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Finding the Fourth Proportional to 15,662.12, 23,498.30 and 5,802.12

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Solution

The fourth proportional to 15,662.12, 23,498.30 and 5,802.12 is: 8,705.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.12 : 23,498.30 = 5,802.12 : x
  2. Step 2: Convert to fraction form
    15,662.12/23,498.30 = 5,802.12/x
  3. Step 3: Cross multiply
    15,662.12x = 23,498.30 × 5,802.12
  4. Step 4: Simplify right side
    15,662.12x = 136,339,956.40
  5. Step 5: Solve for x
    x = 136,339,956.40/15,662.12
  6. Step 6: Final answer
    x = 8,705.08

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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.