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Finding the Fourth Proportional to 14,032.91, 21,038.18 and 8,103.06

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Solution

The fourth proportional to 14,032.91, 21,038.18 and 8,103.06 is: 12,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.91 : 21,038.18 = 8,103.06 : x
  2. Step 2: Convert to fraction form
    14,032.91/21,038.18 = 8,103.06/x
  3. Step 3: Cross multiply
    14,032.91x = 21,038.18 × 8,103.06
  4. Step 4: Simplify right side
    14,032.91x = 170,473,655.09
  5. Step 5: Solve for x
    x = 170,473,655.09/14,032.91
  6. Step 6: Final answer
    x = 12,148.14

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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.