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Finding the Fourth Proportional to 25,830.48, 35,643.02 and 14,497.50

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Solution

The fourth proportional to 25,830.48, 35,643.02 and 14,497.50 is: 20,004.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.48 : 35,643.02 = 14,497.50 : x
  2. Step 2: Convert to fraction form
    25,830.48/35,643.02 = 14,497.50/x
  3. Step 3: Cross multiply
    25,830.48x = 35,643.02 × 14,497.50
  4. Step 4: Simplify right side
    25,830.48x = 516,734,682.45
  5. Step 5: Solve for x
    x = 516,734,682.45/25,830.48
  6. Step 6: Final answer
    x = 20,004.84

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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.