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Finding the Fourth Proportional to 14,309.69, 21,457.71 and 5,300.87

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Solution

The fourth proportional to 14,309.69, 21,457.71 and 5,300.87 is: 7,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.69 : 21,457.71 = 5,300.87 : x
  2. Step 2: Convert to fraction form
    14,309.69/21,457.71 = 5,300.87/x
  3. Step 3: Cross multiply
    14,309.69x = 21,457.71 × 5,300.87
  4. Step 4: Simplify right side
    14,309.69x = 113,744,423.92
  5. Step 5: Solve for x
    x = 113,744,423.92/14,309.69
  6. Step 6: Final answer
    x = 7,948.77

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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.