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Finding the Fourth Proportional to 25,788.05, 38,681.76 and 7,068.07

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Solution

The fourth proportional to 25,788.05, 38,681.76 and 7,068.07 is: 10,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,788.05 : 38,681.76 = 7,068.07 : x
  2. Step 2: Convert to fraction form
    25,788.05/38,681.76 = 7,068.07/x
  3. Step 3: Cross multiply
    25,788.05x = 38,681.76 × 7,068.07
  4. Step 4: Simplify right side
    25,788.05x = 273,405,571.05
  5. Step 5: Solve for x
    x = 273,405,571.05/25,788.05
  6. Step 6: Final answer
    x = 10,602.02

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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.