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Finding the Fourth Proportional to 14,383.47, 21,574.70 and 5,023.46

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Solution

The fourth proportional to 14,383.47, 21,574.70 and 5,023.46 is: 7,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.47 : 21,574.70 = 5,023.46 : x
  2. Step 2: Convert to fraction form
    14,383.47/21,574.70 = 5,023.46/x
  3. Step 3: Cross multiply
    14,383.47x = 21,574.70 × 5,023.46
  4. Step 4: Simplify right side
    14,383.47x = 108,379,534.89
  5. Step 5: Solve for x
    x = 108,379,534.89/14,383.47
  6. Step 6: Final answer
    x = 7,535.00

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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.