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Finding the Fourth Proportional to 15,261.95, 22,878.35 and 9,698.06

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Solution

The fourth proportional to 15,261.95, 22,878.35 and 9,698.06 is: 14,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,261.95 : 22,878.35 = 9,698.06 : x
  2. Step 2: Convert to fraction form
    15,261.95/22,878.35 = 9,698.06/x
  3. Step 3: Cross multiply
    15,261.95x = 22,878.35 × 9,698.06
  4. Step 4: Simplify right side
    15,261.95x = 221,875,656.07
  5. Step 5: Solve for x
    x = 221,875,656.07/15,261.95
  6. Step 6: Final answer
    x = 14,537.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.