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Finding the Fourth Proportional to 19,566.86, 29,323.74 and 9,013.67

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Solution

The fourth proportional to 19,566.86, 29,323.74 and 9,013.67 is: 13,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566.86 : 29,323.74 = 9,013.67 : x
  2. Step 2: Convert to fraction form
    19,566.86/29,323.74 = 9,013.67/x
  3. Step 3: Cross multiply
    19,566.86x = 29,323.74 × 9,013.67
  4. Step 4: Simplify right side
    19,566.86x = 264,314,368.91
  5. Step 5: Solve for x
    x = 264,314,368.91/19,566.86
  6. Step 6: Final answer
    x = 13,508.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.