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Finding the Fourth Proportional to 14,271.90, 19,695.34 and 8,307.02

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Solution

The fourth proportional to 14,271.90, 19,695.34 and 8,307.02 is: 11,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.90 : 19,695.34 = 8,307.02 : x
  2. Step 2: Convert to fraction form
    14,271.90/19,695.34 = 8,307.02/x
  3. Step 3: Cross multiply
    14,271.90x = 19,695.34 × 8,307.02
  4. Step 4: Simplify right side
    14,271.90x = 163,609,583.29
  5. Step 5: Solve for x
    x = 163,609,583.29/14,271.90
  6. Step 6: Final answer
    x = 11,463.76

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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.