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Finding the Fourth Proportional to 14,597.09, 21,892.28 and 5,712.63

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Solution

The fourth proportional to 14,597.09, 21,892.28 and 5,712.63 is: 8,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.09 : 21,892.28 = 5,712.63 : x
  2. Step 2: Convert to fraction form
    14,597.09/21,892.28 = 5,712.63/x
  3. Step 3: Cross multiply
    14,597.09x = 21,892.28 × 5,712.63
  4. Step 4: Simplify right side
    14,597.09x = 125,062,581.16
  5. Step 5: Solve for x
    x = 125,062,581.16/14,597.09
  6. Step 6: Final answer
    x = 8,567.64

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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.