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Finding the Fourth Proportional to 12,762.16, 19,117.69 and 6,521.92

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Solution

The fourth proportional to 12,762.16, 19,117.69 and 6,521.92 is: 9,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.16 : 19,117.69 = 6,521.92 : x
  2. Step 2: Convert to fraction form
    12,762.16/19,117.69 = 6,521.92/x
  3. Step 3: Cross multiply
    12,762.16x = 19,117.69 × 6,521.92
  4. Step 4: Simplify right side
    12,762.16x = 124,683,980.67
  5. Step 5: Solve for x
    x = 124,683,980.67/12,762.16
  6. Step 6: Final answer
    x = 9,769.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.