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Finding the Fourth Proportional to 25,572.04, 35,288.46 and 14,242

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Solution

The fourth proportional to 25,572.04, 35,288.46 and 14,242 is: 19,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572.04 : 35,288.46 = 14,242 : x
  2. Step 2: Convert to fraction form
    25,572.04/35,288.46 = 14,242/x
  3. Step 3: Cross multiply
    25,572.04x = 35,288.46 × 14,242
  4. Step 4: Simplify right side
    25,572.04x = 502,578,247.32
  5. Step 5: Solve for x
    x = 502,578,247.32/25,572.04
  6. Step 6: Final answer
    x = 19,653.43

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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.