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Finding the Fourth Proportional to 14,458.14, 19,958.07 and 9,756.06

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Solution

The fourth proportional to 14,458.14, 19,958.07 and 9,756.06 is: 13,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.14 : 19,958.07 = 9,756.06 : x
  2. Step 2: Convert to fraction form
    14,458.14/19,958.07 = 9,756.06/x
  3. Step 3: Cross multiply
    14,458.14x = 19,958.07 × 9,756.06
  4. Step 4: Simplify right side
    14,458.14x = 194,712,128.40
  5. Step 5: Solve for x
    x = 194,712,128.40/14,458.14
  6. Step 6: Final answer
    x = 13,467.30

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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.