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Finding the Fourth Proportional to 25,055.84, 37,587 and 7,527.44

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Solution

The fourth proportional to 25,055.84, 37,587 and 7,527.44 is: 11,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,055.84 : 37,587 = 7,527.44 : x
  2. Step 2: Convert to fraction form
    25,055.84/37,587 = 7,527.44/x
  3. Step 3: Cross multiply
    25,055.84x = 37,587 × 7,527.44
  4. Step 4: Simplify right side
    25,055.84x = 282,933,887.28
  5. Step 5: Solve for x
    x = 282,933,887.28/25,055.84
  6. Step 6: Final answer
    x = 11,292.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.