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Finding the Fourth Proportional to 14,476.70, 21,715.00 and 9,510.42

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Solution

The fourth proportional to 14,476.70, 21,715.00 and 9,510.42 is: 14,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.70 : 21,715.00 = 9,510.42 : x
  2. Step 2: Convert to fraction form
    14,476.70/21,715.00 = 9,510.42/x
  3. Step 3: Cross multiply
    14,476.70x = 21,715.00 × 9,510.42
  4. Step 4: Simplify right side
    14,476.70x = 206,518,746.52
  5. Step 5: Solve for x
    x = 206,518,746.52/14,476.70
  6. Step 6: Final answer
    x = 14,265.59

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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.