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Finding the Fourth Proportional to 25,106.47, 37,581.94 and 14,738.47

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Solution

The fourth proportional to 25,106.47, 37,581.94 and 14,738.47 is: 22,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,106.47 : 37,581.94 = 14,738.47 : x
  2. Step 2: Convert to fraction form
    25,106.47/37,581.94 = 14,738.47/x
  3. Step 3: Cross multiply
    25,106.47x = 37,581.94 × 14,738.47
  4. Step 4: Simplify right side
    25,106.47x = 553,900,295.23
  5. Step 5: Solve for x
    x = 553,900,295.23/25,106.47
  6. Step 6: Final answer
    x = 22,062.05

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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.