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Finding the Fourth Proportional to 14,065.08, 19,411.74 and 8,475

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Solution

The fourth proportional to 14,065.08, 19,411.74 and 8,475 is: 11,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.08 : 19,411.74 = 8,475 : x
  2. Step 2: Convert to fraction form
    14,065.08/19,411.74 = 8,475/x
  3. Step 3: Cross multiply
    14,065.08x = 19,411.74 × 8,475
  4. Step 4: Simplify right side
    14,065.08x = 164,514,496.50
  5. Step 5: Solve for x
    x = 164,514,496.50/14,065.08
  6. Step 6: Final answer
    x = 11,696.66

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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.