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Finding the Fourth Proportional to 14,457.51, 21,688.92 and 5,097.81

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Solution

The fourth proportional to 14,457.51, 21,688.92 and 5,097.81 is: 7,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.51 : 21,688.92 = 5,097.81 : x
  2. Step 2: Convert to fraction form
    14,457.51/21,688.92 = 5,097.81/x
  3. Step 3: Cross multiply
    14,457.51x = 21,688.92 × 5,097.81
  4. Step 4: Simplify right side
    14,457.51x = 110,565,993.27
  5. Step 5: Solve for x
    x = 110,565,993.27/14,457.51
  6. Step 6: Final answer
    x = 7,647.65

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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.