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Finding the Fourth Proportional to 23,686.48, 32,686.95 and 13,075.84

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Solution

The fourth proportional to 23,686.48, 32,686.95 and 13,075.84 is: 18,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.48 : 32,686.95 = 13,075.84 : x
  2. Step 2: Convert to fraction form
    23,686.48/32,686.95 = 13,075.84/x
  3. Step 3: Cross multiply
    23,686.48x = 32,686.95 × 13,075.84
  4. Step 4: Simplify right side
    23,686.48x = 427,409,328.29
  5. Step 5: Solve for x
    x = 427,409,328.29/23,686.48
  6. Step 6: Final answer
    x = 18,044.44

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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.