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Finding the Fourth Proportional to 19,566.63, 29,349.93 and 9,712.82

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Solution

The fourth proportional to 19,566.63, 29,349.93 and 9,712.82 is: 14,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,566.63 : 29,349.93 = 9,712.82 : x
  2. Step 2: Convert to fraction form
    19,566.63/29,349.93 = 9,712.82/x
  3. Step 3: Cross multiply
    19,566.63x = 29,349.93 × 9,712.82
  4. Step 4: Simplify right side
    19,566.63x = 285,070,440.35
  5. Step 5: Solve for x
    x = 285,070,440.35/19,566.63
  6. Step 6: Final answer
    x = 14,569.22

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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.