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Finding the Fourth Proportional to 13,130.65, 18,117.07 and 8,421.31

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Solution

The fourth proportional to 13,130.65, 18,117.07 and 8,421.31 is: 11,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.65 : 18,117.07 = 8,421.31 : x
  2. Step 2: Convert to fraction form
    13,130.65/18,117.07 = 8,421.31/x
  3. Step 3: Cross multiply
    13,130.65x = 18,117.07 × 8,421.31
  4. Step 4: Simplify right side
    13,130.65x = 152,569,462.76
  5. Step 5: Solve for x
    x = 152,569,462.76/13,130.65
  6. Step 6: Final answer
    x = 11,619.34

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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.