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Finding the Fourth Proportional to 24,506.95, 36,756.95 and 7,864.83

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Solution

The fourth proportional to 24,506.95, 36,756.95 and 7,864.83 is: 11,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.95 : 36,756.95 = 7,864.83 : x
  2. Step 2: Convert to fraction form
    24,506.95/36,756.95 = 7,864.83/x
  3. Step 3: Cross multiply
    24,506.95x = 36,756.95 × 7,864.83
  4. Step 4: Simplify right side
    24,506.95x = 289,087,051.51
  5. Step 5: Solve for x
    x = 289,087,051.51/24,506.95
  6. Step 6: Final answer
    x = 11,796.12

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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.