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Finding the Fourth Proportional to 14,848.32, 22,283.04 and 6,530.40

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Solution

The fourth proportional to 14,848.32, 22,283.04 and 6,530.40 is: 9,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,848.32 : 22,283.04 = 6,530.40 : x
  2. Step 2: Convert to fraction form
    14,848.32/22,283.04 = 6,530.40/x
  3. Step 3: Cross multiply
    14,848.32x = 22,283.04 × 6,530.40
  4. Step 4: Simplify right side
    14,848.32x = 145,517,164.42
  5. Step 5: Solve for x
    x = 145,517,164.42/14,848.32
  6. Step 6: Final answer
    x = 9,800.24

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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.