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Finding the Fourth Proportional to 14,325.84, 19,778.76 and 9,848.16

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Solution

The fourth proportional to 14,325.84, 19,778.76 and 9,848.16 is: 13,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.84 : 19,778.76 = 9,848.16 : x
  2. Step 2: Convert to fraction form
    14,325.84/19,778.76 = 9,848.16/x
  3. Step 3: Cross multiply
    14,325.84x = 19,778.76 × 9,848.16
  4. Step 4: Simplify right side
    14,325.84x = 194,784,393.08
  5. Step 5: Solve for x
    x = 194,784,393.08/14,325.84
  6. Step 6: Final answer
    x = 13,596.72

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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.