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Finding the Fourth Proportional to 14,510.94, 21,762.90 and 4,648.20

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Solution

The fourth proportional to 14,510.94, 21,762.90 and 4,648.20 is: 6,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.94 : 21,762.90 = 4,648.20 : x
  2. Step 2: Convert to fraction form
    14,510.94/21,762.90 = 4,648.20/x
  3. Step 3: Cross multiply
    14,510.94x = 21,762.90 × 4,648.20
  4. Step 4: Simplify right side
    14,510.94x = 101,158,311.78
  5. Step 5: Solve for x
    x = 101,158,311.78/14,510.94
  6. Step 6: Final answer
    x = 6,971.18

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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.