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Finding the Fourth Proportional to 35,514.89, 53,258.50 and 13,316.16

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Solution

The fourth proportional to 35,514.89, 53,258.50 and 13,316.16 is: 19,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514.89 : 53,258.50 = 13,316.16 : x
  2. Step 2: Convert to fraction form
    35,514.89/53,258.50 = 13,316.16/x
  3. Step 3: Cross multiply
    35,514.89x = 53,258.50 × 13,316.16
  4. Step 4: Simplify right side
    35,514.89x = 709,198,707.36
  5. Step 5: Solve for x
    x = 709,198,707.36/35,514.89
  6. Step 6: Final answer
    x = 19,969.05

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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.