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Finding the Fourth Proportional to 21,492.63, 29,658.42 and 12,538.69

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Solution

The fourth proportional to 21,492.63, 29,658.42 and 12,538.69 is: 17,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,492.63 : 29,658.42 = 12,538.69 : x
  2. Step 2: Convert to fraction form
    21,492.63/29,658.42 = 12,538.69/x
  3. Step 3: Cross multiply
    21,492.63x = 29,658.42 × 12,538.69
  4. Step 4: Simplify right side
    21,492.63x = 371,877,660.12
  5. Step 5: Solve for x
    x = 371,877,660.12/21,492.63
  6. Step 6: Final answer
    x = 17,302.57

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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.