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Finding the Fourth Proportional to 12,830.10, 19,210.39 and 6,661.14

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Solution

The fourth proportional to 12,830.10, 19,210.39 and 6,661.14 is: 9,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.10 : 19,210.39 = 6,661.14 : x
  2. Step 2: Convert to fraction form
    12,830.10/19,210.39 = 6,661.14/x
  3. Step 3: Cross multiply
    12,830.10x = 19,210.39 × 6,661.14
  4. Step 4: Simplify right side
    12,830.10x = 127,963,097.24
  5. Step 5: Solve for x
    x = 127,963,097.24/12,830.10
  6. Step 6: Final answer
    x = 9,973.66

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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.