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Finding the Fourth Proportional to 15,389.64, 23,084.47 and 11,884.77

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Solution

The fourth proportional to 15,389.64, 23,084.47 and 11,884.77 is: 17,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,389.64 : 23,084.47 = 11,884.77 : x
  2. Step 2: Convert to fraction form
    15,389.64/23,084.47 = 11,884.77/x
  3. Step 3: Cross multiply
    15,389.64x = 23,084.47 × 11,884.77
  4. Step 4: Simplify right side
    15,389.64x = 274,353,616.52
  5. Step 5: Solve for x
    x = 274,353,616.52/15,389.64
  6. Step 6: Final answer
    x = 17,827.16

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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.