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Finding the Fourth Proportional to 14,204.32, 19,602.83 and 7,830.91

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Solution

The fourth proportional to 14,204.32, 19,602.83 and 7,830.91 is: 10,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.32 : 19,602.83 = 7,830.91 : x
  2. Step 2: Convert to fraction form
    14,204.32/19,602.83 = 7,830.91/x
  3. Step 3: Cross multiply
    14,204.32x = 19,602.83 × 7,830.91
  4. Step 4: Simplify right side
    14,204.32x = 153,507,997.48
  5. Step 5: Solve for x
    x = 153,507,997.48/14,204.32
  6. Step 6: Final answer
    x = 10,807.13

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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.