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Finding the Fourth Proportional to 21,005.04, 31,500.24 and 6,210

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Solution

The fourth proportional to 21,005.04, 31,500.24 and 6,210 is: 9,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.04 : 31,500.24 = 6,210 : x
  2. Step 2: Convert to fraction form
    21,005.04/31,500.24 = 6,210/x
  3. Step 3: Cross multiply
    21,005.04x = 31,500.24 × 6,210
  4. Step 4: Simplify right side
    21,005.04x = 195,616,490.40
  5. Step 5: Solve for x
    x = 195,616,490.40/21,005.04
  6. Step 6: Final answer
    x = 9,312.84

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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.