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Finding the Fourth Proportional to 19,537.64, 29,306.05 and 4,746.63

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Solution

The fourth proportional to 19,537.64, 29,306.05 and 4,746.63 is: 7,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.64 : 29,306.05 = 4,746.63 : x
  2. Step 2: Convert to fraction form
    19,537.64/29,306.05 = 4,746.63/x
  3. Step 3: Cross multiply
    19,537.64x = 29,306.05 × 4,746.63
  4. Step 4: Simplify right side
    19,537.64x = 139,104,976.11
  5. Step 5: Solve for x
    x = 139,104,976.11/19,537.64
  6. Step 6: Final answer
    x = 7,119.85

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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.