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Finding the Fourth Proportional to 14,433.66, 21,657.36 and 9,998.16

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Solution

The fourth proportional to 14,433.66, 21,657.36 and 9,998.16 is: 15,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.66 : 21,657.36 = 9,998.16 : x
  2. Step 2: Convert to fraction form
    14,433.66/21,657.36 = 9,998.16/x
  3. Step 3: Cross multiply
    14,433.66x = 21,657.36 × 9,998.16
  4. Step 4: Simplify right side
    14,433.66x = 216,533,750.46
  5. Step 5: Solve for x
    x = 216,533,750.46/14,433.66
  6. Step 6: Final answer
    x = 15,002.00

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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.