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Finding the Fourth Proportional to 13,875.71, 19,146.87 and 8,210.70

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Solution

The fourth proportional to 13,875.71, 19,146.87 and 8,210.70 is: 11,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.71 : 19,146.87 = 8,210.70 : x
  2. Step 2: Convert to fraction form
    13,875.71/19,146.87 = 8,210.70/x
  3. Step 3: Cross multiply
    13,875.71x = 19,146.87 × 8,210.70
  4. Step 4: Simplify right side
    13,875.71x = 157,209,205.51
  5. Step 5: Solve for x
    x = 157,209,205.51/13,875.71
  6. Step 6: Final answer
    x = 11,329.82

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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.