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Finding the Fourth Proportional to 25,929.74, 35,783.76 and 15,858

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Solution

The fourth proportional to 25,929.74, 35,783.76 and 15,858 is: 21,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,929.74 : 35,783.76 = 15,858 : x
  2. Step 2: Convert to fraction form
    25,929.74/35,783.76 = 15,858/x
  3. Step 3: Cross multiply
    25,929.74x = 35,783.76 × 15,858
  4. Step 4: Simplify right side
    25,929.74x = 567,458,866.08
  5. Step 5: Solve for x
    x = 567,458,866.08/25,929.74
  6. Step 6: Final answer
    x = 21,884.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.