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Finding the Fourth Proportional to 12,865.68, 19,297.53 and 4,971.96

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Solution

The fourth proportional to 12,865.68, 19,297.53 and 4,971.96 is: 7,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.68 : 19,297.53 = 4,971.96 : x
  2. Step 2: Convert to fraction form
    12,865.68/19,297.53 = 4,971.96/x
  3. Step 3: Cross multiply
    12,865.68x = 19,297.53 × 4,971.96
  4. Step 4: Simplify right side
    12,865.68x = 95,946,547.26
  5. Step 5: Solve for x
    x = 95,946,547.26/12,865.68
  6. Step 6: Final answer
    x = 7,457.56

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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.