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Finding the Fourth Proportional to 25,290.84, 37,952.10 and 9,710.04

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Solution

The fourth proportional to 25,290.84, 37,952.10 and 9,710.04 is: 14,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,290.84 : 37,952.10 = 9,710.04 : x
  2. Step 2: Convert to fraction form
    25,290.84/37,952.10 = 9,710.04/x
  3. Step 3: Cross multiply
    25,290.84x = 37,952.10 × 9,710.04
  4. Step 4: Simplify right side
    25,290.84x = 368,516,409.08
  5. Step 5: Solve for x
    x = 368,516,409.08/25,290.84
  6. Step 6: Final answer
    x = 14,571.14

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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.