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Finding the Fourth Proportional to 14,508.06, 19,993.05 and 9,784.14

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Solution

The fourth proportional to 14,508.06, 19,993.05 and 9,784.14 is: 13,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.06 : 19,993.05 = 9,784.14 : x
  2. Step 2: Convert to fraction form
    14,508.06/19,993.05 = 9,784.14/x
  3. Step 3: Cross multiply
    14,508.06x = 19,993.05 × 9,784.14
  4. Step 4: Simplify right side
    14,508.06x = 195,614,800.23
  5. Step 5: Solve for x
    x = 195,614,800.23/14,508.06
  6. Step 6: Final answer
    x = 13,483.18

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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.