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Finding the Fourth Proportional to 25,571.51, 35,286.16 and 14,242.06

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Solution

The fourth proportional to 25,571.51, 35,286.16 and 14,242.06 is: 19,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571.51 : 35,286.16 = 14,242.06 : x
  2. Step 2: Convert to fraction form
    25,571.51/35,286.16 = 14,242.06/x
  3. Step 3: Cross multiply
    25,571.51x = 35,286.16 × 14,242.06
  4. Step 4: Simplify right side
    25,571.51x = 502,547,643.10
  5. Step 5: Solve for x
    x = 502,547,643.10/25,571.51
  6. Step 6: Final answer
    x = 19,652.64

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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.