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Finding the Fourth Proportional to 15,686.69, 21,645.29 and 8,970.77

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Solution

The fourth proportional to 15,686.69, 21,645.29 and 8,970.77 is: 12,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.69 : 21,645.29 = 8,970.77 : x
  2. Step 2: Convert to fraction form
    15,686.69/21,645.29 = 8,970.77/x
  3. Step 3: Cross multiply
    15,686.69x = 21,645.29 × 8,970.77
  4. Step 4: Simplify right side
    15,686.69x = 194,174,994.71
  5. Step 5: Solve for x
    x = 194,174,994.71/15,686.69
  6. Step 6: Final answer
    x = 12,378.33

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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.