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Finding the Fourth Proportional to 19,994.47, 29,948.57 and 9,448.58

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Solution

The fourth proportional to 19,994.47, 29,948.57 and 9,448.58 is: 14,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,994.47 : 29,948.57 = 9,448.58 : x
  2. Step 2: Convert to fraction form
    19,994.47/29,948.57 = 9,448.58/x
  3. Step 3: Cross multiply
    19,994.47x = 29,948.57 × 9,448.58
  4. Step 4: Simplify right side
    19,994.47x = 282,971,262.54
  5. Step 5: Solve for x
    x = 282,971,262.54/19,994.47
  6. Step 6: Final answer
    x = 14,152.48

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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.