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Finding the Fourth Proportional to 24,315.76, 36,459.04 and 9,507.03

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Solution

The fourth proportional to 24,315.76, 36,459.04 and 9,507.03 is: 14,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.76 : 36,459.04 = 9,507.03 : x
  2. Step 2: Convert to fraction form
    24,315.76/36,459.04 = 9,507.03/x
  3. Step 3: Cross multiply
    24,315.76x = 36,459.04 × 9,507.03
  4. Step 4: Simplify right side
    24,315.76x = 346,617,187.05
  5. Step 5: Solve for x
    x = 346,617,187.05/24,315.76
  6. Step 6: Final answer
    x = 14,254.84

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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.