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Finding the Fourth Proportional to 12,935.16, 19,384.20 and 7,377

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Solution

The fourth proportional to 12,935.16, 19,384.20 and 7,377 is: 11,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,935.16 : 19,384.20 = 7,377 : x
  2. Step 2: Convert to fraction form
    12,935.16/19,384.20 = 7,377/x
  3. Step 3: Cross multiply
    12,935.16x = 19,384.20 × 7,377
  4. Step 4: Simplify right side
    12,935.16x = 142,997,243.40
  5. Step 5: Solve for x
    x = 142,997,243.40/12,935.16
  6. Step 6: Final answer
    x = 11,054.93

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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.