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Finding the Fourth Proportional to 24,534.86, 36,802.62 and 7,004.66

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Solution

The fourth proportional to 24,534.86, 36,802.62 and 7,004.66 is: 10,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.86 : 36,802.62 = 7,004.66 : x
  2. Step 2: Convert to fraction form
    24,534.86/36,802.62 = 7,004.66/x
  3. Step 3: Cross multiply
    24,534.86x = 36,802.62 × 7,004.66
  4. Step 4: Simplify right side
    24,534.86x = 257,789,656.20
  5. Step 5: Solve for x
    x = 257,789,656.20/24,534.86
  6. Step 6: Final answer
    x = 10,507.08

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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.