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Finding the Fourth Proportional to 14,281.25, 21,384.95 and 9,852.57

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Solution

The fourth proportional to 14,281.25, 21,384.95 and 9,852.57 is: 14,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.25 : 21,384.95 = 9,852.57 : x
  2. Step 2: Convert to fraction form
    14,281.25/21,384.95 = 9,852.57/x
  3. Step 3: Cross multiply
    14,281.25x = 21,384.95 × 9,852.57
  4. Step 4: Simplify right side
    14,281.25x = 210,696,667.56
  5. Step 5: Solve for x
    x = 210,696,667.56/14,281.25
  6. Step 6: Final answer
    x = 14,753.38

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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.