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Finding the Fourth Proportional to 25,798.84, 35,602.80 and 14,470.85

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Solution

The fourth proportional to 25,798.84, 35,602.80 and 14,470.85 is: 19,970.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,798.84 : 35,602.80 = 14,470.85 : x
  2. Step 2: Convert to fraction form
    25,798.84/35,602.80 = 14,470.85/x
  3. Step 3: Cross multiply
    25,798.84x = 35,602.80 × 14,470.85
  4. Step 4: Simplify right side
    25,798.84x = 515,202,778.38
  5. Step 5: Solve for x
    x = 515,202,778.38/25,798.84
  6. Step 6: Final answer
    x = 19,970.00

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Why These Related Problems?

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