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Finding the Fourth Proportional to 19,597.51, 29,406.31 and 9,602.06

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Solution

The fourth proportional to 19,597.51, 29,406.31 and 9,602.06 is: 14,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.51 : 29,406.31 = 9,602.06 : x
  2. Step 2: Convert to fraction form
    19,597.51/29,406.31 = 9,602.06/x
  3. Step 3: Cross multiply
    19,597.51x = 29,406.31 × 9,602.06
  4. Step 4: Simplify right side
    19,597.51x = 282,361,153.00
  5. Step 5: Solve for x
    x = 282,361,153.00/19,597.51
  6. Step 6: Final answer
    x = 14,408.02

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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.