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Finding the Fourth Proportional to 35,809.81, 53,714.73 and 13,618.06

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Solution

The fourth proportional to 35,809.81, 53,714.73 and 13,618.06 is: 20,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.81 : 53,714.73 = 13,618.06 : x
  2. Step 2: Convert to fraction form
    35,809.81/53,714.73 = 13,618.06/x
  3. Step 3: Cross multiply
    35,809.81x = 53,714.73 × 13,618.06
  4. Step 4: Simplify right side
    35,809.81x = 731,490,416.02
  5. Step 5: Solve for x
    x = 731,490,416.02/35,809.81
  6. Step 6: Final answer
    x = 20,427.10

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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.