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Finding the Fourth Proportional to 21,064, 29,070.88 and 12,232

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Solution

The fourth proportional to 21,064, 29,070.88 and 12,232 is: 16,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064 : 29,070.88 = 12,232 : x
  2. Step 2: Convert to fraction form
    21,064/29,070.88 = 12,232/x
  3. Step 3: Cross multiply
    21,064x = 29,070.88 × 12,232
  4. Step 4: Simplify right side
    21,064x = 355,595,004.16
  5. Step 5: Solve for x
    x = 355,595,004.16/21,064
  6. Step 6: Final answer
    x = 16,881.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.