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Finding the Fourth Proportional to 21,056.28, 31,587.54 and 7,011.72

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Solution

The fourth proportional to 21,056.28, 31,587.54 and 7,011.72 is: 10,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056.28 : 31,587.54 = 7,011.72 : x
  2. Step 2: Convert to fraction form
    21,056.28/31,587.54 = 7,011.72/x
  3. Step 3: Cross multiply
    21,056.28x = 31,587.54 × 7,011.72
  4. Step 4: Simplify right side
    21,056.28x = 221,482,985.97
  5. Step 5: Solve for x
    x = 221,482,985.97/21,056.28
  6. Step 6: Final answer
    x = 10,518.62

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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.