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Finding the Fourth Proportional to 14,156.10, 21,214.02 and 10,429.02

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Solution

The fourth proportional to 14,156.10, 21,214.02 and 10,429.02 is: 15,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.10 : 21,214.02 = 10,429.02 : x
  2. Step 2: Convert to fraction form
    14,156.10/21,214.02 = 10,429.02/x
  3. Step 3: Cross multiply
    14,156.10x = 21,214.02 × 10,429.02
  4. Step 4: Simplify right side
    14,156.10x = 221,241,438.86
  5. Step 5: Solve for x
    x = 221,241,438.86/14,156.10
  6. Step 6: Final answer
    x = 15,628.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.