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Finding the Fourth Proportional to 12,364.74, 18,549.54 and 4,573.62

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Solution

The fourth proportional to 12,364.74, 18,549.54 and 4,573.62 is: 6,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.74 : 18,549.54 = 4,573.62 : x
  2. Step 2: Convert to fraction form
    12,364.74/18,549.54 = 4,573.62/x
  3. Step 3: Cross multiply
    12,364.74x = 18,549.54 × 4,573.62
  4. Step 4: Simplify right side
    12,364.74x = 84,838,547.13
  5. Step 5: Solve for x
    x = 84,838,547.13/12,364.74
  6. Step 6: Final answer
    x = 6,861.33

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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.