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Finding the Fourth Proportional to 12,864.68, 19,263.23 and 10,352.53

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Solution

The fourth proportional to 12,864.68, 19,263.23 and 10,352.53 is: 15,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.68 : 19,263.23 = 10,352.53 : x
  2. Step 2: Convert to fraction form
    12,864.68/19,263.23 = 10,352.53/x
  3. Step 3: Cross multiply
    12,864.68x = 19,263.23 × 10,352.53
  4. Step 4: Simplify right side
    12,864.68x = 199,423,166.47
  5. Step 5: Solve for x
    x = 199,423,166.47/12,864.68
  6. Step 6: Final answer
    x = 15,501.60

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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.