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Finding the Fourth Proportional to 15,506.68, 21,363.06 and 10,782.76

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Solution

The fourth proportional to 15,506.68, 21,363.06 and 10,782.76 is: 14,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.68 : 21,363.06 = 10,782.76 : x
  2. Step 2: Convert to fraction form
    15,506.68/21,363.06 = 10,782.76/x
  3. Step 3: Cross multiply
    15,506.68x = 21,363.06 × 10,782.76
  4. Step 4: Simplify right side
    15,506.68x = 230,352,748.85
  5. Step 5: Solve for x
    x = 230,352,748.85/15,506.68
  6. Step 6: Final answer
    x = 14,855.07

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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.