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Finding the Fourth Proportional to 12,812.50, 17,681.05 and 10,312.03

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Solution

The fourth proportional to 12,812.50, 17,681.05 and 10,312.03 is: 14,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.50 : 17,681.05 = 10,312.03 : x
  2. Step 2: Convert to fraction form
    12,812.50/17,681.05 = 10,312.03/x
  3. Step 3: Cross multiply
    12,812.50x = 17,681.05 × 10,312.03
  4. Step 4: Simplify right side
    12,812.50x = 182,327,518.03
  5. Step 5: Solve for x
    x = 182,327,518.03/12,812.50
  6. Step 6: Final answer
    x = 14,230.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.