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Finding the Fourth Proportional to 14,583.47, 21,854.70 and 8,334.12

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Solution

The fourth proportional to 14,583.47, 21,854.70 and 8,334.12 is: 12,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.47 : 21,854.70 = 8,334.12 : x
  2. Step 2: Convert to fraction form
    14,583.47/21,854.70 = 8,334.12/x
  3. Step 3: Cross multiply
    14,583.47x = 21,854.70 × 8,334.12
  4. Step 4: Simplify right side
    14,583.47x = 182,139,541.42
  5. Step 5: Solve for x
    x = 182,139,541.42/14,583.47
  6. Step 6: Final answer
    x = 12,489.45

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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.