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Finding the Fourth Proportional to 24,208.32, 36,303.12 and 9,415.24

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Solution

The fourth proportional to 24,208.32, 36,303.12 and 9,415.24 is: 14,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.32 : 36,303.12 = 9,415.24 : x
  2. Step 2: Convert to fraction form
    24,208.32/36,303.12 = 9,415.24/x
  3. Step 3: Cross multiply
    24,208.32x = 36,303.12 × 9,415.24
  4. Step 4: Simplify right side
    24,208.32x = 341,802,587.55
  5. Step 5: Solve for x
    x = 341,802,587.55/24,208.32
  6. Step 6: Final answer
    x = 14,119.22

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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.