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Finding the Fourth Proportional to 13,765.69, 19,002.47 and 9,295.50

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Solution

The fourth proportional to 13,765.69, 19,002.47 and 9,295.50 is: 12,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.69 : 19,002.47 = 9,295.50 : x
  2. Step 2: Convert to fraction form
    13,765.69/19,002.47 = 9,295.50/x
  3. Step 3: Cross multiply
    13,765.69x = 19,002.47 × 9,295.50
  4. Step 4: Simplify right side
    13,765.69x = 176,637,459.89
  5. Step 5: Solve for x
    x = 176,637,459.89/13,765.69
  6. Step 6: Final answer
    x = 12,831.72

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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.