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Finding the Fourth Proportional to 21,154.46, 29,193.14 and 12,656.93

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Solution

The fourth proportional to 21,154.46, 29,193.14 and 12,656.93 is: 17,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.46 : 29,193.14 = 12,656.93 : x
  2. Step 2: Convert to fraction form
    21,154.46/29,193.14 = 12,656.93/x
  3. Step 3: Cross multiply
    21,154.46x = 29,193.14 × 12,656.93
  4. Step 4: Simplify right side
    21,154.46x = 369,495,529.46
  5. Step 5: Solve for x
    x = 369,495,529.46/21,154.46
  6. Step 6: Final answer
    x = 17,466.55

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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.