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Finding the Fourth Proportional to 13,159.77, 19,645.98 and 12,698.46

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Solution

The fourth proportional to 13,159.77, 19,645.98 and 12,698.46 is: 18,957.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.77 : 19,645.98 = 12,698.46 : x
  2. Step 2: Convert to fraction form
    13,159.77/19,645.98 = 12,698.46/x
  3. Step 3: Cross multiply
    13,159.77x = 19,645.98 × 12,698.46
  4. Step 4: Simplify right side
    13,159.77x = 249,473,691.19
  5. Step 5: Solve for x
    x = 249,473,691.19/13,159.77
  6. Step 6: Final answer
    x = 18,957.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.