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Finding the Fourth Proportional to 21,527, 29,707.26 and 12,095.57

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Solution

The fourth proportional to 21,527, 29,707.26 and 12,095.57 is: 16,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,527 : 29,707.26 = 12,095.57 : x
  2. Step 2: Convert to fraction form
    21,527/29,707.26 = 12,095.57/x
  3. Step 3: Cross multiply
    21,527x = 29,707.26 × 12,095.57
  4. Step 4: Simplify right side
    21,527x = 359,326,242.84
  5. Step 5: Solve for x
    x = 359,326,242.84/21,527
  6. Step 6: Final answer
    x = 16,691.89

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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.