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Finding the Fourth Proportional to 23,809.13, 35,714.55 and 9,019.13

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Solution

The fourth proportional to 23,809.13, 35,714.55 and 9,019.13 is: 13,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.13 : 35,714.55 = 9,019.13 : x
  2. Step 2: Convert to fraction form
    23,809.13/35,714.55 = 9,019.13/x
  3. Step 3: Cross multiply
    23,809.13x = 35,714.55 × 9,019.13
  4. Step 4: Simplify right side
    23,809.13x = 322,113,990.77
  5. Step 5: Solve for x
    x = 322,113,990.77/23,809.13
  6. Step 6: Final answer
    x = 13,529.01

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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.