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Finding the Fourth Proportional to 28,618.32, 42,925.60 and 9,894

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Solution

The fourth proportional to 28,618.32, 42,925.60 and 9,894 is: 14,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,618.32 : 42,925.60 = 9,894 : x
  2. Step 2: Convert to fraction form
    28,618.32/42,925.60 = 9,894/x
  3. Step 3: Cross multiply
    28,618.32x = 42,925.60 × 9,894
  4. Step 4: Simplify right side
    28,618.32x = 424,705,886.40
  5. Step 5: Solve for x
    x = 424,705,886.40/28,618.32
  6. Step 6: Final answer
    x = 14,840.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.