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Finding the Fourth Proportional to 14,271.17, 21,412.89 and 7,695.83

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Solution

The fourth proportional to 14,271.17, 21,412.89 and 7,695.83 is: 11,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.17 : 21,412.89 = 7,695.83 : x
  2. Step 2: Convert to fraction form
    14,271.17/21,412.89 = 7,695.83/x
  3. Step 3: Cross multiply
    14,271.17x = 21,412.89 × 7,695.83
  4. Step 4: Simplify right side
    14,271.17x = 164,789,854.18
  5. Step 5: Solve for x
    x = 164,789,854.18/14,271.17
  6. Step 6: Final answer
    x = 11,547.05

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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.