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Finding the Fourth Proportional to 35,783.40, 53,657.82 and 13,278.54

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Solution

The fourth proportional to 35,783.40, 53,657.82 and 13,278.54 is: 19,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.40 : 53,657.82 = 13,278.54 : x
  2. Step 2: Convert to fraction form
    35,783.40/53,657.82 = 13,278.54/x
  3. Step 3: Cross multiply
    35,783.40x = 53,657.82 × 13,278.54
  4. Step 4: Simplify right side
    35,783.40x = 712,497,509.18
  5. Step 5: Solve for x
    x = 712,497,509.18/35,783.40
  6. Step 6: Final answer
    x = 19,911.40

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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.