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Finding the Fourth Proportional to 12,411.76, 17,130.36 and 8,430.16

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Solution

The fourth proportional to 12,411.76, 17,130.36 and 8,430.16 is: 11,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.76 : 17,130.36 = 8,430.16 : x
  2. Step 2: Convert to fraction form
    12,411.76/17,130.36 = 8,430.16/x
  3. Step 3: Cross multiply
    12,411.76x = 17,130.36 × 8,430.16
  4. Step 4: Simplify right side
    12,411.76x = 144,411,675.66
  5. Step 5: Solve for x
    x = 144,411,675.66/12,411.76
  6. Step 6: Final answer
    x = 11,635.07

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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.