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Finding the Fourth Proportional to 21,312, 31,968.54 and 7,461

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Solution

The fourth proportional to 21,312, 31,968.54 and 7,461 is: 11,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312 : 31,968.54 = 7,461 : x
  2. Step 2: Convert to fraction form
    21,312/31,968.54 = 7,461/x
  3. Step 3: Cross multiply
    21,312x = 31,968.54 × 7,461
  4. Step 4: Simplify right side
    21,312x = 238,517,276.94
  5. Step 5: Solve for x
    x = 238,517,276.94/21,312
  6. Step 6: Final answer
    x = 11,191.69

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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.