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Finding the Fourth Proportional to 14,038.47, 19,371.62 and 8,071.00

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Solution

The fourth proportional to 14,038.47, 19,371.62 and 8,071.00 is: 11,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.47 : 19,371.62 = 8,071.00 : x
  2. Step 2: Convert to fraction form
    14,038.47/19,371.62 = 8,071.00/x
  3. Step 3: Cross multiply
    14,038.47x = 19,371.62 × 8,071.00
  4. Step 4: Simplify right side
    14,038.47x = 156,348,316.77
  5. Step 5: Solve for x
    x = 156,348,316.77/14,038.47
  6. Step 6: Final answer
    x = 11,137.13

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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.