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Finding the Fourth Proportional to 21,570.30, 32,355.47 and 6,780.51

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Solution

The fourth proportional to 21,570.30, 32,355.47 and 6,780.51 is: 10,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.30 : 32,355.47 = 6,780.51 : x
  2. Step 2: Convert to fraction form
    21,570.30/32,355.47 = 6,780.51/x
  3. Step 3: Cross multiply
    21,570.30x = 32,355.47 × 6,780.51
  4. Step 4: Simplify right side
    21,570.30x = 219,386,587.89
  5. Step 5: Solve for x
    x = 219,386,587.89/21,570.30
  6. Step 6: Final answer
    x = 10,170.77

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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.