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Finding the Fourth Proportional to 19,185.16, 28,777.81 and 9,820.07

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Solution

The fourth proportional to 19,185.16, 28,777.81 and 9,820.07 is: 14,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,185.16 : 28,777.81 = 9,820.07 : x
  2. Step 2: Convert to fraction form
    19,185.16/28,777.81 = 9,820.07/x
  3. Step 3: Cross multiply
    19,185.16x = 28,777.81 × 9,820.07
  4. Step 4: Simplify right side
    19,185.16x = 282,600,044.40
  5. Step 5: Solve for x
    x = 282,600,044.40/19,185.16
  6. Step 6: Final answer
    x = 14,730.14

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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.