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Finding the Fourth Proportional to 21,594.75, 32,345.15 and 10,477.98

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Solution

The fourth proportional to 21,594.75, 32,345.15 and 10,477.98 is: 15,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594.75 : 32,345.15 = 10,477.98 : x
  2. Step 2: Convert to fraction form
    21,594.75/32,345.15 = 10,477.98/x
  3. Step 3: Cross multiply
    21,594.75x = 32,345.15 × 10,477.98
  4. Step 4: Simplify right side
    21,594.75x = 338,911,782.41
  5. Step 5: Solve for x
    x = 338,911,782.41/21,594.75
  6. Step 6: Final answer
    x = 15,694.17

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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.