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Finding the Fourth Proportional to 21,563.58, 32,345.36 and 9,703.49

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Solution

The fourth proportional to 21,563.58, 32,345.36 and 9,703.49 is: 14,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.58 : 32,345.36 = 9,703.49 : x
  2. Step 2: Convert to fraction form
    21,563.58/32,345.36 = 9,703.49/x
  3. Step 3: Cross multiply
    21,563.58x = 32,345.36 × 9,703.49
  4. Step 4: Simplify right side
    21,563.58x = 313,862,828.79
  5. Step 5: Solve for x
    x = 313,862,828.79/21,563.58
  6. Step 6: Final answer
    x = 14,555.23

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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.