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Finding the Fourth Proportional to 14,573.19, 21,854.42 and 5,210.67

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Solution

The fourth proportional to 14,573.19, 21,854.42 and 5,210.67 is: 7,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.19 : 21,854.42 = 5,210.67 : x
  2. Step 2: Convert to fraction form
    14,573.19/21,854.42 = 5,210.67/x
  3. Step 3: Cross multiply
    14,573.19x = 21,854.42 × 5,210.67
  4. Step 4: Simplify right side
    14,573.19x = 113,876,144.61
  5. Step 5: Solve for x
    x = 113,876,144.61/14,573.19
  6. Step 6: Final answer
    x = 7,814.08

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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.