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Finding the Fourth Proportional to 14,035.61, 19,364.16 and 9,002.54

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Solution

The fourth proportional to 14,035.61, 19,364.16 and 9,002.54 is: 12,420.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.61 : 19,364.16 = 9,002.54 : x
  2. Step 2: Convert to fraction form
    14,035.61/19,364.16 = 9,002.54/x
  3. Step 3: Cross multiply
    14,035.61x = 19,364.16 × 9,002.54
  4. Step 4: Simplify right side
    14,035.61x = 174,326,707.14
  5. Step 5: Solve for x
    x = 174,326,707.14/14,035.61
  6. Step 6: Final answer
    x = 12,420.31

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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.