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Finding the Fourth Proportional to 25,547.70, 38,274.03 and 13,870.74

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Solution

The fourth proportional to 25,547.70, 38,274.03 and 13,870.74 is: 20,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,547.70 : 38,274.03 = 13,870.74 : x
  2. Step 2: Convert to fraction form
    25,547.70/38,274.03 = 13,870.74/x
  3. Step 3: Cross multiply
    25,547.70x = 38,274.03 × 13,870.74
  4. Step 4: Simplify right side
    25,547.70x = 530,889,118.88
  5. Step 5: Solve for x
    x = 530,889,118.88/25,547.70
  6. Step 6: Final answer
    x = 20,780.31

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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.