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Finding the Fourth Proportional to 15,820.32, 21,830.95 and 8,746.19

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Solution

The fourth proportional to 15,820.32, 21,830.95 and 8,746.19 is: 12,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.32 : 21,830.95 = 8,746.19 : x
  2. Step 2: Convert to fraction form
    15,820.32/21,830.95 = 8,746.19/x
  3. Step 3: Cross multiply
    15,820.32x = 21,830.95 × 8,746.19
  4. Step 4: Simplify right side
    15,820.32x = 190,937,636.58
  5. Step 5: Solve for x
    x = 190,937,636.58/15,820.32
  6. Step 6: Final answer
    x = 12,069.14

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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.