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Finding the Fourth Proportional to 14,897.31, 22,345.94 and 3,804

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Solution

The fourth proportional to 14,897.31, 22,345.94 and 3,804 is: 5,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.31 : 22,345.94 = 3,804 : x
  2. Step 2: Convert to fraction form
    14,897.31/22,345.94 = 3,804/x
  3. Step 3: Cross multiply
    14,897.31x = 22,345.94 × 3,804
  4. Step 4: Simplify right side
    14,897.31x = 85,003,955.76
  5. Step 5: Solve for x
    x = 85,003,955.76/14,897.31
  6. Step 6: Final answer
    x = 5,705.99

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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.