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Finding the Fourth Proportional to 14,925.40, 22,394.16 and 7,532

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Solution

The fourth proportional to 14,925.40, 22,394.16 and 7,532 is: 11,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925.40 : 22,394.16 = 7,532 : x
  2. Step 2: Convert to fraction form
    14,925.40/22,394.16 = 7,532/x
  3. Step 3: Cross multiply
    14,925.40x = 22,394.16 × 7,532
  4. Step 4: Simplify right side
    14,925.40x = 168,672,813.12
  5. Step 5: Solve for x
    x = 168,672,813.12/14,925.40
  6. Step 6: Final answer
    x = 11,301.06

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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.