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Finding the Fourth Proportional to 13,108.16, 18,106.57 and 9,712.07

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Solution

The fourth proportional to 13,108.16, 18,106.57 and 9,712.07 is: 13,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.16 : 18,106.57 = 9,712.07 : x
  2. Step 2: Convert to fraction form
    13,108.16/18,106.57 = 9,712.07/x
  3. Step 3: Cross multiply
    13,108.16x = 18,106.57 × 9,712.07
  4. Step 4: Simplify right side
    13,108.16x = 175,852,264.81
  5. Step 5: Solve for x
    x = 175,852,264.81/13,108.16
  6. Step 6: Final answer
    x = 13,415.48

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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.