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Finding the Fourth Proportional to 23,798.66, 35,707.79 and 10,464.80

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Solution

The fourth proportional to 23,798.66, 35,707.79 and 10,464.80 is: 15,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.66 : 35,707.79 = 10,464.80 : x
  2. Step 2: Convert to fraction form
    23,798.66/35,707.79 = 10,464.80/x
  3. Step 3: Cross multiply
    23,798.66x = 35,707.79 × 10,464.80
  4. Step 4: Simplify right side
    23,798.66x = 373,674,669.55
  5. Step 5: Solve for x
    x = 373,674,669.55/23,798.66
  6. Step 6: Final answer
    x = 15,701.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.