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Finding the Fourth Proportional to 25,574.87, 35,293.22 and 14,244.50

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Solution

The fourth proportional to 25,574.87, 35,293.22 and 14,244.50 is: 19,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.87 : 35,293.22 = 14,244.50 : x
  2. Step 2: Convert to fraction form
    25,574.87/35,293.22 = 14,244.50/x
  3. Step 3: Cross multiply
    25,574.87x = 35,293.22 × 14,244.50
  4. Step 4: Simplify right side
    25,574.87x = 502,734,024.60
  5. Step 5: Solve for x
    x = 502,734,024.60/25,574.87
  6. Step 6: Final answer
    x = 19,657.35

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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.