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Finding the Fourth Proportional to 14,020, 19,347.62 and 7,732.36

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Solution

The fourth proportional to 14,020, 19,347.62 and 7,732.36 is: 10,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020 : 19,347.62 = 7,732.36 : x
  2. Step 2: Convert to fraction form
    14,020/19,347.62 = 7,732.36/x
  3. Step 3: Cross multiply
    14,020x = 19,347.62 × 7,732.36
  4. Step 4: Simplify right side
    14,020x = 149,602,762.98
  5. Step 5: Solve for x
    x = 149,602,762.98/14,020
  6. Step 6: Final answer
    x = 10,670.67

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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.