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Finding the Fourth Proportional to 25,088.64, 37,633.92 and 12,762.24

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Solution

The fourth proportional to 25,088.64, 37,633.92 and 12,762.24 is: 19,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,088.64 : 37,633.92 = 12,762.24 : x
  2. Step 2: Convert to fraction form
    25,088.64/37,633.92 = 12,762.24/x
  3. Step 3: Cross multiply
    25,088.64x = 37,633.92 × 12,762.24
  4. Step 4: Simplify right side
    25,088.64x = 480,293,119.18
  5. Step 5: Solve for x
    x = 480,293,119.18/25,088.64
  6. Step 6: Final answer
    x = 19,143.85

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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.