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Finding the Fourth Proportional to 14,006.63, 19,328.14 and 8,038.15

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Solution

The fourth proportional to 14,006.63, 19,328.14 and 8,038.15 is: 11,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.63 : 19,328.14 = 8,038.15 : x
  2. Step 2: Convert to fraction form
    14,006.63/19,328.14 = 8,038.15/x
  3. Step 3: Cross multiply
    14,006.63x = 19,328.14 × 8,038.15
  4. Step 4: Simplify right side
    14,006.63x = 155,362,488.54
  5. Step 5: Solve for x
    x = 155,362,488.54/14,006.63
  6. Step 6: Final answer
    x = 11,092.07

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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.