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Finding the Fourth Proportional to 25,574.49, 35,289.12 and 14,242.41

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Solution

The fourth proportional to 25,574.49, 35,289.12 and 14,242.41 is: 19,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.49 : 35,289.12 = 14,242.41 : x
  2. Step 2: Convert to fraction form
    25,574.49/35,289.12 = 14,242.41/x
  3. Step 3: Cross multiply
    25,574.49x = 35,289.12 × 14,242.41
  4. Step 4: Simplify right side
    25,574.49x = 502,602,115.58
  5. Step 5: Solve for x
    x = 502,602,115.58/25,574.49
  6. Step 6: Final answer
    x = 19,652.48

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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.