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Finding the Fourth Proportional to 14,124.81, 19,501.41 and 9,646.92

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Solution

The fourth proportional to 14,124.81, 19,501.41 and 9,646.92 is: 13,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124.81 : 19,501.41 = 9,646.92 : x
  2. Step 2: Convert to fraction form
    14,124.81/19,501.41 = 9,646.92/x
  3. Step 3: Cross multiply
    14,124.81x = 19,501.41 × 9,646.92
  4. Step 4: Simplify right side
    14,124.81x = 188,128,542.16
  5. Step 5: Solve for x
    x = 188,128,542.16/14,124.81
  6. Step 6: Final answer
    x = 13,319.01

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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.