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Finding the Fourth Proportional to 15,313.30, 22,964 and 5,952.08

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Solution

The fourth proportional to 15,313.30, 22,964 and 5,952.08 is: 8,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313.30 : 22,964 = 5,952.08 : x
  2. Step 2: Convert to fraction form
    15,313.30/22,964 = 5,952.08/x
  3. Step 3: Cross multiply
    15,313.30x = 22,964 × 5,952.08
  4. Step 4: Simplify right side
    15,313.30x = 136,683,565.12
  5. Step 5: Solve for x
    x = 136,683,565.12/15,313.30
  6. Step 6: Final answer
    x = 8,925.81

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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.