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Finding the Fourth Proportional to 21,098.65, 29,089.67 and 13,531.63

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Solution

The fourth proportional to 21,098.65, 29,089.67 and 13,531.63 is: 18,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.65 : 29,089.67 = 13,531.63 : x
  2. Step 2: Convert to fraction form
    21,098.65/29,089.67 = 13,531.63/x
  3. Step 3: Cross multiply
    21,098.65x = 29,089.67 × 13,531.63
  4. Step 4: Simplify right side
    21,098.65x = 393,630,641.54
  5. Step 5: Solve for x
    x = 393,630,641.54/21,098.65
  6. Step 6: Final answer
    x = 18,656.67

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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.