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Finding the Fourth Proportional to 21,569.34, 32,326.75 and 9,710.48

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Solution

The fourth proportional to 21,569.34, 32,326.75 and 9,710.48 is: 14,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.34 : 32,326.75 = 9,710.48 : x
  2. Step 2: Convert to fraction form
    21,569.34/32,326.75 = 9,710.48/x
  3. Step 3: Cross multiply
    21,569.34x = 32,326.75 × 9,710.48
  4. Step 4: Simplify right side
    21,569.34x = 313,908,297.67
  5. Step 5: Solve for x
    x = 313,908,297.67/21,569.34
  6. Step 6: Final answer
    x = 14,553.45

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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.