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Finding the Fourth Proportional to 14,032.34, 19,364.02 and 7,658.77

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Solution

The fourth proportional to 14,032.34, 19,364.02 and 7,658.77 is: 10,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.34 : 19,364.02 = 7,658.77 : x
  2. Step 2: Convert to fraction form
    14,032.34/19,364.02 = 7,658.77/x
  3. Step 3: Cross multiply
    14,032.34x = 19,364.02 × 7,658.77
  4. Step 4: Simplify right side
    14,032.34x = 148,304,575.46
  5. Step 5: Solve for x
    x = 148,304,575.46/14,032.34
  6. Step 6: Final answer
    x = 10,568.77

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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.