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Finding the Fourth Proportional to 15,580.76, 21,486.84 and 10,266.32

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Solution

The fourth proportional to 15,580.76, 21,486.84 and 10,266.32 is: 14,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.76 : 21,486.84 = 10,266.32 : x
  2. Step 2: Convert to fraction form
    15,580.76/21,486.84 = 10,266.32/x
  3. Step 3: Cross multiply
    15,580.76x = 21,486.84 × 10,266.32
  4. Step 4: Simplify right side
    15,580.76x = 220,590,775.23
  5. Step 5: Solve for x
    x = 220,590,775.23/15,580.76
  6. Step 6: Final answer
    x = 14,157.90

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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.