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Finding the Fourth Proportional to 15,387.84, 23,078.88 and 9,580.32

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Solution

The fourth proportional to 15,387.84, 23,078.88 and 9,580.32 is: 14,368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,387.84 : 23,078.88 = 9,580.32 : x
  2. Step 2: Convert to fraction form
    15,387.84/23,078.88 = 9,580.32/x
  3. Step 3: Cross multiply
    15,387.84x = 23,078.88 × 9,580.32
  4. Step 4: Simplify right side
    15,387.84x = 221,103,055.64
  5. Step 5: Solve for x
    x = 221,103,055.64/15,387.84
  6. Step 6: Final answer
    x = 14,368.69

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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.