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Finding the Fourth Proportional to 25,582.68, 38,374.02 and 8,054.28

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Solution

The fourth proportional to 25,582.68, 38,374.02 and 8,054.28 is: 12,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,582.68 : 38,374.02 = 8,054.28 : x
  2. Step 2: Convert to fraction form
    25,582.68/38,374.02 = 8,054.28/x
  3. Step 3: Cross multiply
    25,582.68x = 38,374.02 × 8,054.28
  4. Step 4: Simplify right side
    25,582.68x = 309,075,101.81
  5. Step 5: Solve for x
    x = 309,075,101.81/25,582.68
  6. Step 6: Final answer
    x = 12,081.42

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Why These Related Problems?

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