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Finding the Fourth Proportional to 15,783.64, 21,764.34 and 10,748.68

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Solution

The fourth proportional to 15,783.64, 21,764.34 and 10,748.68 is: 14,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.64 : 21,764.34 = 10,748.68 : x
  2. Step 2: Convert to fraction form
    15,783.64/21,764.34 = 10,748.68/x
  3. Step 3: Cross multiply
    15,783.64x = 21,764.34 × 10,748.68
  4. Step 4: Simplify right side
    15,783.64x = 233,937,926.07
  5. Step 5: Solve for x
    x = 233,937,926.07/15,783.64
  6. Step 6: Final answer
    x = 14,821.54

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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.