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Finding the Fourth Proportional to 27,446, 37,875.54 and 14,870.74

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Solution

The fourth proportional to 27,446, 37,875.54 and 14,870.74 is: 20,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446 : 37,875.54 = 14,870.74 : x
  2. Step 2: Convert to fraction form
    27,446/37,875.54 = 14,870.74/x
  3. Step 3: Cross multiply
    27,446x = 37,875.54 × 14,870.74
  4. Step 4: Simplify right side
    27,446x = 563,237,307.70
  5. Step 5: Solve for x
    x = 563,237,307.70/27,446
  6. Step 6: Final answer
    x = 20,521.65

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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.