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Finding the Fourth Proportional to 14,342.00, 19,798.70 and 9,569.88

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Solution

The fourth proportional to 14,342.00, 19,798.70 and 9,569.88 is: 13,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.00 : 19,798.70 = 9,569.88 : x
  2. Step 2: Convert to fraction form
    14,342.00/19,798.70 = 9,569.88/x
  3. Step 3: Cross multiply
    14,342.00x = 19,798.70 × 9,569.88
  4. Step 4: Simplify right side
    14,342.00x = 189,471,135.31
  5. Step 5: Solve for x
    x = 189,471,135.31/14,342.00
  6. Step 6: Final answer
    x = 13,210.93

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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.