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Finding the Fourth Proportional to 19,532.34, 26,956.80 and 11,148.84

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Solution

The fourth proportional to 19,532.34, 26,956.80 and 11,148.84 is: 15,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.34 : 26,956.80 = 11,148.84 : x
  2. Step 2: Convert to fraction form
    19,532.34/26,956.80 = 11,148.84/x
  3. Step 3: Cross multiply
    19,532.34x = 26,956.80 × 11,148.84
  4. Step 4: Simplify right side
    19,532.34x = 300,537,050.11
  5. Step 5: Solve for x
    x = 300,537,050.11/19,532.34
  6. Step 6: Final answer
    x = 15,386.64

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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.