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Finding the Fourth Proportional to 24,647.51, 36,987.65 and 9,065.14

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Solution

The fourth proportional to 24,647.51, 36,987.65 and 9,065.14 is: 13,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.51 : 36,987.65 = 9,065.14 : x
  2. Step 2: Convert to fraction form
    24,647.51/36,987.65 = 9,065.14/x
  3. Step 3: Cross multiply
    24,647.51x = 36,987.65 × 9,065.14
  4. Step 4: Simplify right side
    24,647.51x = 335,298,225.52
  5. Step 5: Solve for x
    x = 335,298,225.52/24,647.51
  6. Step 6: Final answer
    x = 13,603.74

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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.