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Finding the Fourth Proportional to 14,977, 22,463.70 and 5,116.06

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Solution

The fourth proportional to 14,977, 22,463.70 and 5,116.06 is: 7,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977 : 22,463.70 = 5,116.06 : x
  2. Step 2: Convert to fraction form
    14,977/22,463.70 = 5,116.06/x
  3. Step 3: Cross multiply
    14,977x = 22,463.70 × 5,116.06
  4. Step 4: Simplify right side
    14,977x = 114,925,637.02
  5. Step 5: Solve for x
    x = 114,925,637.02/14,977
  6. Step 6: Final answer
    x = 7,673.48

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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.