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Finding the Fourth Proportional to 14,457.16, 21,681.42 and 5,221

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Solution

The fourth proportional to 14,457.16, 21,681.42 and 5,221 is: 7,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.16 : 21,681.42 = 5,221 : x
  2. Step 2: Convert to fraction form
    14,457.16/21,681.42 = 5,221/x
  3. Step 3: Cross multiply
    14,457.16x = 21,681.42 × 5,221
  4. Step 4: Simplify right side
    14,457.16x = 113,198,693.82
  5. Step 5: Solve for x
    x = 113,198,693.82/14,457.16
  6. Step 6: Final answer
    x = 7,829.94

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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.