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Finding the Fourth Proportional to 15,384.74, 23,068.29 and 9,149.10

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Solution

The fourth proportional to 15,384.74, 23,068.29 and 9,149.10 is: 13,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.74 : 23,068.29 = 9,149.10 : x
  2. Step 2: Convert to fraction form
    15,384.74/23,068.29 = 9,149.10/x
  3. Step 3: Cross multiply
    15,384.74x = 23,068.29 × 9,149.10
  4. Step 4: Simplify right side
    15,384.74x = 211,054,169.60
  5. Step 5: Solve for x
    x = 211,054,169.60/15,384.74
  6. Step 6: Final answer
    x = 13,718.41

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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.