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Finding the Fourth Proportional to 21,026.86, 31,539.74 and 7,702.90

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Solution

The fourth proportional to 21,026.86, 31,539.74 and 7,702.90 is: 11,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.86 : 31,539.74 = 7,702.90 : x
  2. Step 2: Convert to fraction form
    21,026.86/31,539.74 = 7,702.90/x
  3. Step 3: Cross multiply
    21,026.86x = 31,539.74 × 7,702.90
  4. Step 4: Simplify right side
    21,026.86x = 242,947,345.88
  5. Step 5: Solve for x
    x = 242,947,345.88/21,026.86
  6. Step 6: Final answer
    x = 11,554.14

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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.