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Finding the Fourth Proportional to 19,537.68, 29,306.54 and 4,746.59

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Solution

The fourth proportional to 19,537.68, 29,306.54 and 4,746.59 is: 7,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.68 : 29,306.54 = 4,746.59 : x
  2. Step 2: Convert to fraction form
    19,537.68/29,306.54 = 4,746.59/x
  3. Step 3: Cross multiply
    19,537.68x = 29,306.54 × 4,746.59
  4. Step 4: Simplify right side
    19,537.68x = 139,106,129.70
  5. Step 5: Solve for x
    x = 139,106,129.70/19,537.68
  6. Step 6: Final answer
    x = 7,119.89

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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.