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Finding the Fourth Proportional to 14,573.70, 21,862.71 and 4,709.70

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Solution

The fourth proportional to 14,573.70, 21,862.71 and 4,709.70 is: 7,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.70 : 21,862.71 = 4,709.70 : x
  2. Step 2: Convert to fraction form
    14,573.70/21,862.71 = 4,709.70/x
  3. Step 3: Cross multiply
    14,573.70x = 21,862.71 × 4,709.70
  4. Step 4: Simplify right side
    14,573.70x = 102,966,805.29
  5. Step 5: Solve for x
    x = 102,966,805.29/14,573.70
  6. Step 6: Final answer
    x = 7,065.25

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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.