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Finding the Fourth Proportional to 21,076.90, 29,088.03 and 11,648.50

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Solution

The fourth proportional to 21,076.90, 29,088.03 and 11,648.50 is: 16,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.90 : 29,088.03 = 11,648.50 : x
  2. Step 2: Convert to fraction form
    21,076.90/29,088.03 = 11,648.50/x
  3. Step 3: Cross multiply
    21,076.90x = 29,088.03 × 11,648.50
  4. Step 4: Simplify right side
    21,076.90x = 338,831,917.46
  5. Step 5: Solve for x
    x = 338,831,917.46/21,076.90
  6. Step 6: Final answer
    x = 16,075.98

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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.