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Finding the Fourth Proportional to 25,792.54, 38,681.09 and 7,780.01

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Solution

The fourth proportional to 25,792.54, 38,681.09 and 7,780.01 is: 11,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.54 : 38,681.09 = 7,780.01 : x
  2. Step 2: Convert to fraction form
    25,792.54/38,681.09 = 7,780.01/x
  3. Step 3: Cross multiply
    25,792.54x = 38,681.09 × 7,780.01
  4. Step 4: Simplify right side
    25,792.54x = 300,939,267.01
  5. Step 5: Solve for x
    x = 300,939,267.01/25,792.54
  6. Step 6: Final answer
    x = 11,667.69

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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.